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.

  1. 👍 0
  2. 👎 0
  3. 👁 271
  1. The notation for conditional probability is P(B|A), read as the probability of B given A.
    P(B|A) = P(A and B)/P(A)

    for yours P(A) = P(odd sum is rolled)
    P(B) = P(5 or 10)

    ways to get 5: (1,4) (2,3) (3,2) (4,1) --> 4 ways
    ways to get 10: (4,6) (5,5) (6,4) -- > 3 ways

    P(A) = 18/36 = 1/2

    P(A and B) = P((5or10) and odd) = 4/36

    P(B|A) (4/36)/(1/2) = 2/9

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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?

    asked by Maddy on October 23, 2012
  2. 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.

    asked by Jessica on April 30, 2014
  3. 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

    asked by Jack on August 15, 2010

    A die with 12 sides is rolled. What is the probability of rolling a number less than 11? Is this the same as rolling a total less than 11 with two six-sided dice? Explain. A. 2/6 B. 3/6 C. 4/6 D. 5/6 My answer is d ,is it correct

    asked by Vedrana on February 23, 2016
  5. math

    A pair of dice is rolled. Find the probability of rolling ​a) a sum not more than 1010​, ​b) a sum not less than 77​, ​c) a sum between 33 and 77 ​(exclusive).

    asked by Anonymous on February 28, 2017
  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

    asked by Keonn'a on October 9, 2018
  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

    asked by qwerty on February 13, 2015
  3. Math

    You roll two fair dice. Let E be the event that an even total shows on the dice. Let F be the event that a six shows on at least one of the dice. Find P(F) and P(F|E). Choices: P(F)=1/3; P(F|E)=1/13 P(F)=1/3; P(F|E)=5/18

    asked by Lily on April 18, 2017
  4. Math

    Two 6-sided dice are rolled at the same time. How many outcomes correspond to the event that the sum of the numbers is 5?

    asked by Sami on June 9, 2014
  5. Statistics

    You are playing a board game in which severity of a plenty is determined by rolling three dice and adding spots on the up-face. The dice are all balanced so that each face is equally likely, and the three dice fall independently.

    asked by MAI on December 15, 2008
  6. Algebra 2

    Suppose you roll two dice. Find the number of elements in the event space of rolling a sum of 2.

    asked by t on April 26, 2012

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