Amy plays a game with an ordinary, fair dice.
If she rolls: 1 she wins, 2 or 3 she loses, 4, 5 or 6 she rolls again.
When she has to roll again: if she rolls an even number she wins
if she rolls an odd number she loses.
a) Work out the probabilities that should be
First roll
Second roll
placed at P, Q, R and S on the tree diagram.
Give your answers as fractions in the form a/b
P
Q
2 or 3
P:
Q:
R:
S:
R
even
4, 5 or 6
(1)
(1)
b) Work out the probability that Amy will win
and the probability she will lose.
Give your answers as fractions in the form a/b
S
odd
P(win) =
P(lose) =
(2)
(2)
Answers
Answer:
Ok so I’m stuck with this question too But I got the top part.
p=1/6
q=2/6
r=3/6
s=3/6
A) The probabilities placed at P, Q, R and S on the tree diagram are;
P = 1/6; Q = 1/3; R = 1/4; S = 1/4
B) The probabilities of her winning or losing is;
Probability that she will win = 5/12
Probability that she will lose = 7/12
A) From the given tree diagram, we can see that;At point P; Only 1 is rolled.
Since there are 6 possible numbers, then Probability at P = 1/6
At point Q; either 2 or 3 can be rolled.
Since there are 6 possible numbers, then Probability at Q = 2/6 = 1/3
At point R; 4,5, or 6 can be rolled on first roll.
Thus, Probability on first roll = 3/6
At R on second roll if she gets even, probability on second roll = 3/6
At S on second roll if she gets odd, probability on second roll = 3/6
Thus;
Overall probability at R = 3/6 × 3/6 = 1/4
Overall probability at S = 3/6 × 3/6 = 1/4
B) Probability that she will win are the probabilities at P and R.Thus, probability that she will win = 1/6 + 1/4 = 5/12
Probability that she will lose are the probabilities at Q and S.
Probability that she will lose = 1/3 + 1/4 = 7/12
Read more at; https://brainly.com/question/3346866
Related Questions
Jacelyn charges $9 per hour for umpiring softball games. If u represents Jacelyn's total fee after umpiring for h hours,
which equations can be used to model the situation?
Answers
how many hours? you didnt tell
I don’t think this is right I need help?
Answers
Answer:
1 and 2
Step-by-step explanation:
If x is 1: 2 x 1 + 7 = 2 + 7
= 9 This works.
If x is 2: 2 x 2 + 7 = 4 + 7
= 11 This works
If x is 3: 2 x 3 + 7 = 6 + 7
= 13 This does not work since 2x + 7 has to be less than 13.
For integers a, b and k, we know that a >12, b > 20 and a < b. If b=7k, what is the value of k ?
Answers
This question is incomplete, the complete question is;
For integers a, b and k, we know that a > 12, b < 20 and a < b. If b=7k, what is the value of k ?
Answer: the value of k = 2
Step-by-step explanation:
Given that;
a > 12
b < 20
a < b
If b = 7k
Now if k = 1 {b = 7k = 7}
b would be equal to 7 but b has to be greater than 20
IT CANT BE
if k = 2 { b = 7k = 14}
b would be equal to 14, a is greater than 12, b has to be less than b; 14 < 20,
a has to be less than than b ( 12 < 14 )
IT IS
if k = 3 {b = 7k = 21}
b would be equal to 21, so b is greater than 20 and a is less than 21
IT CANT BE
Therefore the value of k = 2
Please help me solve this challanging question 9 (step by step sulotion) 50 points!
Answers
9514 1404 393
Answer:
10
Step-by-step explanation:
Let L and T represent the initial amounts that Leo and Theo had. Let n represent the number of bills exchanged in the first exchange. Then we have ...
L -20n +50n = T -50n +20n . . . . after the first exchange, each has the same
After the second exchange, amounts trade places:
(L +30n) +6(50) = T
Substituting this into the first equation, we get ...
L +30n = ((L +30n) +300) -30n
30n = 300
n = 10
Leo gave Theo ten $20 bills.
_____
Comment on the amounts
Theo started with $600 more than Leo, including exactly 16 $50 bills. Leo had at least 10 $20 bills, so he could make the initial exchange. Whatever initial amount Leo had in excess of that $200 was matched in Theo's initial amount, but Theo must have had that excess in $20 bills only. For example, Leo may have started with $300 as 10×$20 +2×$50, but Theo's initial $900 would need to be 5×$20 +16×$50.
0.9b + 12 = 0.8b - 9
Answers
Answer:
0.9b+12=0.8b-9
0.9b+0.8b= -9-9
1.7b=-21
=-12.352
What are the interest cost and the total amount due on a six-month loan of $1,800 at 14.4 percent simple annual interest
Answers
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Principal (P)= $1,800
Number of periods (t)= 6 months
Monthly interest rate (r)= 0.144/12= 0.012
To calculate the interest to be paid and the total amount due, we need to use the following formula:
I= P*r*t
I= 1,800*6*0.012
I= $129.6
Total amount= $1,929.6
FinWhat is the perimeter of the triangle in the graph? Round your answer to the nearest tenth if necessary. (1 point) 8.9 8.0 12.9 8.5d the missing y-coordinate that makes the two triangles congruent. Triangle ABC: A(8,4), B(2,6), C(5, 0) Triangle MNO: M(7,4), N(1,2), O(4, y)
Answers
Answer:
man did you ever find out the answer bc I'm dying I cannot fail this test-
Answer:
12.9
Step-by-step explanation:
it is common sense
also i just took test
Find the present value of the given future payment at the specified interest rate.
6000$ due in 2 years at
6.5% compounded daily
Answers
Answer:
6.5% of 6000$=6000$x6.5/100=390$
amount of interest = 390$x2=780$
Compound Interest
n=1, 2
Po=6000$
Pn=Po(1+r)^n
Pn=6000$1+6.5%)^n
Pn=6000$(1.065)^n
P1=6000$(1.065)^1=6390$
P2=6000$(1.065)^2=6805.35
Seventh grade
AA.5 Area of circles YA8
The radius of a circle is 9 feet. What is the circle's area?
Use 3.14 for .
square feet
Submit
Answers
Answer:
A=pi x r^2
A= 3.14 x 9^2 feet
A= 3.14 x 81 feet^2
A= 254.34 ft^2
please help but right answers
Answers
Answer:
51=-3x+6 -6
45=-3x ÷(-3)
-15=x
Step-by-step explanation:
prove me wrong
Answer:
r=-15
Step-by-step explanation:
51-(-3r+6)=0
3r-6+51=0
3r+45=0
3r=-45
r=-45/3
r=-15
In a certain state, a survey of 600 workers showed that 35% belonged to a union. Find the 95% confidence interval of true proportion of workers who belong to a union.
Answers
Answer:
The 95% confidence interval of true proportion of workers who belong to a union.
(0.29657 , 0.40343)
Step-by-step explanation:
Explanation:-
Given sample size 'n' = 600
Given sample proportion p = 35% or 0.35
The 95% confidence interval of true proportion of workers who belong to a union.
[tex](p^{-} -Z_{0.05} \sqrt{\frac{pq}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{pq}{n} } )[/tex]
[tex](0.35 -1.96\sqrt{\frac{0.35 X0.65}{600} } , 0.35 + 1.96\sqrt{\frac{0.35 X 0.65}{600} } )[/tex]
( 0.35 - 1.96 (0.02726) , 0.35 + 1.96 (0.02726)
(0.35 - 0.05343 , 0.35 + 0.05343)
(0.29657 , 0.40343)
Final answer:-
The 95% confidence interval of true proportion of workers who belong to a union.
(0.29657 , 0.40343)
Oscar is responsible for choosing the company his local
community group will use to cater an event. He must choose
between Delectables and Gracefully Done. Both companies
charge an initial set-up fee and then charge per guest served.
The graph shows the cost, in hundreds of dollars, of hiring
Delectables and Gracefully Done.
Which statements are true about Delectables and Gracefully
Done?
Select each correct answer.
Gracefully Done charges more per guest than
Delectables charges.
O Gracefully Done charges $5 per guest served.
The initial fee charged by Delectables is less than
the initial fee charged by Gracefully Done.
Oscar should choose Delectables if fewer than 50
guests are served
The two caterers will cost the same if 500 guests are
served.
The initial fee charged by Delectables is $250.
Answers
A scale drawing of a living room is shown below:
What is the area of the actual living room in square feet? Round your answer to the nearest whole number.
17 ft2
41 ft2
495 ft2
103 ft2
Answers
Answer:
103 ft.
Step-by-step explanation:
Answer:
TrIaNgLe
Step-by-step explanation:
20 to the power of 3 divided by 2
Answers
Answer:
4000
Step-by-step explanation:
20 to the power of 3 is 8000 and 8000/2 is 4000
Please help me solve
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Polynomial long division is done using the same methods as for numerical long division. Each quotient term is multiplied by the divisor, and that product subtracted from the dividend to get the new dividend. You are done when the degree of the dividend is less than the degree of the divisor.
As with numbers, 0 is put where a placeholder is needed. Here, that is needed for the (missing) x^2 term in the dividend.
As with numbers, the remainder is expressed as a fraction using the divisor as the denominator.
The full quotient is 4x^2 +2x +11/4 +37/(8x-4).
HELP PLEASE!!
The question: Are these two quantities in a proportional relationship? Explain why or why not. Use number or words to explain your answer.
Answers
Answer:
Yes it is correct.
Step-by-step explanation:
It is correct because .75 time 3 is 2.25 and .75 times 4 is 3.00 and .75 times 6 equals 4.50 and .75 times 8 equals 6.00.
find the measusre of the angles.
Answers
Answer:
1, 3, 5 =117
2, 4, 6, 7= 63
Step-by-step explanation:
Since we know that one angle is 117 degrees, 5, 1 and 3 will also be 117. 2, 4, 6 and 7 will also be the same. 117 plus 117 is 234. 63 + 63 = 126. 234+ 126 = 360.
Please help, I have no clue how to answer this.
Answers
Answer:
74-2c
Step-by-step explanation:
you know that craig's age is c. You multiply c by two, which is twice craig's age. Then you subtract that from c.
This graph and table show the total number of cars parked in a parking lot, n, after it was open for t hours.
Plot and table. Plot has horizontal axis from 0 to 3 in increments of 1, labeled t, and vertical axis from 0 to 18 in increments of 2, labeled n. Plot shows the points left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 6 right parenthesis, left parenthesis 2 comma 12 right parenthesis, and left parenthesis 3 comma 18 right parenthesis. Two-column table has column Time in hours left parenthesis t right parenthesis showing values 0, 1, 2, 3 and column Number of cars parked left parenthesis n right parenthesis showing values 0, 6, 12, 18.
What is an equation showing the relationship between n and t?
Enter your answer by filling in the box to complete the equation.
n =
Answers
Answer: n = 6t
Explanation: i took the test
halp
A 43-foot ladder is leaning against a building and forms a 29.37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.
21.09 feet
24.20 feet
37.47 feet
49.34 feet
Answers
Answer:
37.46
Step-by-step explanation:
I think not sure tho
Simplify:
3 + {[(8 ÷ 2) + 2] + 8} =
Answers
Answer:
The answer is 17
hope this helped and good luck on your test! :D
Step-by-step explanation:
If you are good at math please dm me on ig 14lies, or twitt binderelluh1
Answers
Answer:
Okay
Step-by-step explanation:
If 2 quarts of paint are needed for 75 ft of fence, how many quarts are needed for 900 ft of fence
Answers
Answer:
24 quarts
Step-by-step explanation:
1 qrt = 75/2 = 37.5
900 / 37.5 = 24
Solve the system of equations:
x+y=5
-4x-2y=-8
Which point on the graph below is the solution to the system of linear equations?
A. W
B. X
C. Z
D. Y
Answers
Answer:
the correct answer would be Y! i took it!! make me most brainlessly please!!!
Step-by-step explanation:
Graph the equation.
y = -2(x - 1) - 4
Answers
Answer:
y-intercept is (0, -2)
x-intercept is (-1, 0)
Step-by-step explanation:
Out of 498 applicants for a job, 187 have over 10 years of experience and 127 have over 10 years of experience and have a graduate degree. Step 1 of 2 : What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience
Answers
Answer:
the probability that randomly selected applicants over 10 years of experience is 0.6791
Step-by-step explanation:
The computation of the probability that randomly selected applicants over 10 years of experience is as follows:
Total would be
= 187 have 10 + years experience
Now
P(graduate | 10+) = (graduate and 10+ years experience) ÷ (10 + years of experience)
= 127 ÷ 187
= 0.6791
Hence, the probability that randomly selected applicants over 10 years of experience is 0.6791
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers the color green. If 16 buyers are randomly selected, what is the probability that exactly 10 buyers would prefer green
Answers
Answer:
[tex]P(X=10) = 0.1222[/tex]
Step-by-step explanation:
Represent Green with G
So,
[tex]G = 50\%[/tex]
Required
Determine the probability that 10 out of 16 prefer green
This question is an illustration of binomial distribution and will be solved using the following binomial distribution formula.
[tex]P(X=x) = ^nC_xG^x(1-G)^{n-x}[/tex]
In this case:
[tex]n = 16[/tex] -- number of people
[tex]x = 10[/tex] -- those that prefer green
So, the expression becomes:
[tex]P(X=10) = ^{16}C_{10}G^{10}(1-G)^{16-10}[/tex]
[tex]P(X=10) = ^{16}C_{10}G^{10}(1-G)^{6}[/tex]
Substitute 50% for G (Express as decimal)
[tex]P(X=10) = ^{16}C_{10}*0.50^{10}*(1-0.50)^{6}[/tex]
[tex]P(X=10) = ^{16}C_{10}*0.50^{10}*0.50^{6}[/tex]
Apply law of indices
[tex]P(X=10) = ^{16}C_{10}*0.50^{10+6[/tex]
[tex]P(X=10) = ^{16}C_{10}*0.50^{16[/tex]
Solve 16C10
[tex]P(X=10) = \frac{16!}{(16-10)!10!} *0.50^{16[/tex]
[tex]P(X=10) = \frac{16!}{6!10!} *0.50^{16[/tex]
[tex]P(X=10) = \frac{16*15*14*13*12*11*10!}{6!10!} *0.50^{16[/tex]
[tex]P(X=10) = \frac{16*15*14*13*12*11}{6!} *0.50^{16[/tex]
[tex]P(X=10) = \frac{16*15*14*13*12*11}{6*5*4*3*2*1} * 0.50^{16[/tex]
[tex]P(X=10) = \frac{5765760}{720} * 0.50^{16[/tex]
[tex]P(X=10) = 8008 * 0.50^{16[/tex]
[tex]P(X=10) = 8008 * 0.00001525878[/tex]
[tex]P(X=10) = 0.12219231024[/tex]
[tex]P(X=10) = 0.1222[/tex]
Hence, the required probability is 0.1222
in desperate need of help for this question
Answers
Answer: Do you wanna go out with me
Step-by-step explanation:
A square has sides lengths of 7 in.find the length of the squares diagonal. if necessary round to the nearest tenth
Answers
Answer:
9.9 in
Step-by-step explanation:
x² = 7² + 7² = 98
x = 9.9
Find the height of an equilateral triangle with side length 8.
Answers
Answer:
4 root 3
Step-by-step explanation:
formula of height equalitral triangle:
side/2 root 3:
side = 8
8/2*root 3
4 root 3
