# math

suppose a pair of dice is rolled. Consider the sums of numbers on the top of the dice. Find the probabilities:
a) P(5, given that the sum are odd)
b) P(odd, given that the sum rolled is 5)
c) P(7, given that one of the dice rolled was odd)

1. 👍
2. 👎
3. 👁
1. a) There are 36 possibilities. 18 of them are odd. Possible outcomes with a sum of 5 are: (1,4), (4,1), (2,3) and (3,2). The conitional probability is therefore 4/18 or 2/9.
b) If a sum of 5 is rolled, the sum is necessarily odd, so the conditional probability is 1.
c) The number of ways that only one die can be odd is:
(1,2), (1,4), (1,6), (3,2), (3,4), (3,6), (5,2), (5,4), (5,6), and the same combinations in reverse order, for a total of 18. Six of the combinations total 7, so the conditional probability is 6/18 = 1/3.

1. 👍
2. 👎

## Similar Questions

1. ### algebra

A student rolled two six-sided number cubes several times. The numbers below are the sums of the numbers she rolled. Which histogram represents the data?2, 7, 10, 6, 12, 9, 5, 10, 6 I'm stuck

2. ### math

two 6 sided dice are rolled . what is the probability the sum of the two numbers on the die will be 6

3. ### math

A pair of fair dice is rolled. What is the probability of each of the following? (Round your answers to three decimal places.) (a) the sum of the numbers shown uppermost is less than 6 (b) at least one 6 is cast

4. ### Probability

When two fair six-sided dice are rolled, there are 36 possible outcomes. Find the probability that either doubles are rolled or the sum of the two dice is 8.

1. ### Math

A pair of fair dice is rolled. Let E denote the event that the number landing uppermost on the first die is a 3, and let F denote the event that the sum of the numbers landing uppermost is 6. Determine whether E and F are

2. ### math

A pair of dice is rolled. What is the probability of the sum of the numbers shown uppermost is less than 6?

3. ### math

A pair of dice is rolled once. suppose you lose \$9 if the dice sum to 9 and win \$11 if the dice sum to 4 or 6. how much should you win or lose if any other number turns up in order for the game to be fair?

4. ### Math 141

A pair of fair 6-sided dice is rolled. What is the probability that a 3 is rolled if it is known that the sum of the numbers landing uppermost is less than or equal to 6?

1. ### Math

Two six-sided dice are rolled at the same time and the numbers showing are observed. Find the following. a. P(sum=6) (1,6), (6,1) 1/36+1/36=2/36 b. P(sum=3) =1/36 c. P(sum is an odd number) 30/36 d. P(the two dice show same

2. ### math

A pair of dice is rolled.What is the probability that the sum of the pips is either an even number on a multiple of 3? total number of space is 36.

3. ### Douglas

Two 6-sided fair dice are rolled. What is the probability that the sum of the two numbers on the dice will not be 9?

4. ### math

Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die shows 5. B: the numbers add to 4. C: at least one of the numbers is 3. D: the numbers do not add to 10. Express the event "The numbers