Stats

Two dice are tossed. What is the probability that the sum of both dice is a prime number?
this is the answer i have ;

Presuming two fair, 6-sided dice, each numbered 1 through 6:

You can achieve one of the following results on any given roll: 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12. But there is only 1 way to get a 2, 2 ways to get a 3, 3 ways to get a 4, up to 6 ways to get a 7, then 5 ways to get 8, and so on. Total is 1 + 2 + 3 + 4 + 5 + 6 + 5 + 4 + 3 + 2 + 1 = 36 possible outcomes.

The prime numbers from 2 through 12 inclusive are: 2, 3, 5, 7, and 11. There is 1 way to get a 2, 2 ways for a 3, 4 ways for a 5, 6 ways for a 7 and 2 ways for 11. Total of 1 + 2 + 4 + 6 + 2 = 15 successful outcomes out of 36 possible outcomes.
15/36 = 5/12 = 0.417

  1. 👍
  2. 👎
  3. 👁
  1. Right.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    If two fair dice are​ rolled, find the probability that the sum of the dice is 6​, given that the sum is greater than 3.

  2. 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

  3. 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.

  4. statistics

    Two dice are rolled and two fair coins are tossed. Let X be the sum of the number of spots that show on the top faces of the dice and the number of coins that land heads up. The expected value of X is _____ .

  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. Probability

    You roll two five-sided dice. The sides of each die are numbered from 1 to 5. The dice are “fair" (all sides are equally likely), and the two die rolls are independent. Part (a): Event A is “the total is 10" (i.e., the sum of

  3. Math

    Two 4-sided dice are rolled and the sum is recorded. Determine the theoretical probability of rolling a sum of 6. Hint: You may want to create a dice chart for the sum of two 4-sided die. a. 3/16 b. 6/16 c. 2/16 d. 4/16

  4. math

    Two dice are rolled. Find the probability that the score on the dice is 5.

  1. Probability

    A pair of fair dice is tossed once. Find the probability a sum of 5 or 3 appears.

  2. Statistics

    Two dice are tossed. What is the probability that the sum of both dice is a prime number? This is what I have so far Presuming two fair, 6-sided dice, each numbered 1 through 6: You can achieve one of the following results on any

  3. math

    a pair of dice is rolled. is the event of rolling a sum of the dice is an odd number. Find the probability that the sum is a five or a ten, given that an odd sum is rolled.

  4. 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?

You can view more similar questions or ask a new question.