a. Are the outcomes in S equally likely? ? b. Find P(7). That is, find the probability that the "number of dots is a 7"? Enter your answer as a fraction. c. Find P(10). Enter your answer as a fraction.

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7
9.
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12
a. Are the outcomes in S equally likely? ?
b. Find P(7). That is, find the probability that the "number of dots is a 7"? Enter your answer as a
fraction.
c. Find P(10). Enter your answer as a fraction.
d. Let O be the event "number of dots is odd". Find P(0). Enter your answer as a fraction.
e. Let G be the event "number of dots is strictly greater than 3". Find P(G). Enter your answer as
a fraction.
f. Suppose that we rolled the dice 7,700 times. How many times would we expect to roll a 3?
Round your answer to the nearest whole number.
Transcribed Image Text:6 7 9. 10 11 12 a. Are the outcomes in S equally likely? ? b. Find P(7). That is, find the probability that the "number of dots is a 7"? Enter your answer as a fraction. c. Find P(10). Enter your answer as a fraction. d. Let O be the event "number of dots is odd". Find P(0). Enter your answer as a fraction. e. Let G be the event "number of dots is strictly greater than 3". Find P(G). Enter your answer as a fraction. f. Suppose that we rolled the dice 7,700 times. How many times would we expect to roll a 3? Round your answer to the nearest whole number.
Suppose that we roll two fair dice, one red and one blue. Then there are 36 possible outcomes in the
sample space, as shown in the table below.
Blue Die
1
4
6.
1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
84 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
A 5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
6 (6,1) (6,2) (6,3) (6,4)| (6,5) (6,6)
Suppose we write the sample space in terms of the number of dots facing up on the two dice. That is, write
S = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Use the table to answer each of the following:
Complete the probability distribution function (pdf). Enter your answer as a fraction.
Sample space Probability
2
3
4.
Transcribed Image Text:Suppose that we roll two fair dice, one red and one blue. Then there are 36 possible outcomes in the sample space, as shown in the table below. Blue Die 1 4 6. 1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) 2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) 3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) 84 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) A 5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) 6 (6,1) (6,2) (6,3) (6,4)| (6,5) (6,6) Suppose we write the sample space in terms of the number of dots facing up on the two dice. That is, write S = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Use the table to answer each of the following: Complete the probability distribution function (pdf). Enter your answer as a fraction. Sample space Probability 2 3 4.
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