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Practice with Conditional Probability

Site: Saylor Academy
Course: GKT101: General Knowledge for Teachers – Math
Book: Practice with Conditional Probability
Printed by: Guest user
Date: Thursday, 3 April 2025, 6:08 PM

Description

Complete these exercises and check your answers.

Table of contents

Review Questions

  1. 2 fair dice are rolled. What is the probability that the sum is even given that the first die that is rolled is a 2?

  2. 2 fair dice are rolled. What is the probability that the sum is even given that the first die rolled is a 5?

  3. 2 fair dice are rolled. What is the probability that the sum is odd given that the first die rolled is a 5?

  4. Steve and Scott are playing a game of cards with a standard deck of playing cards. Steve deals Scott a black king. What is the probability that Scott's second card will be a red card?

  5. Sandra and Karen are playing a game of cards with a standard deck of playing cards. Sandra deals Karen a red seven. What is the probability that Karen's second card will be a black card?

     

Source: CK-12, https://www.ck12.org/book/ck-12-basic-probability-and-statistics-concepts/section/2.7/

CK12 License This work is licensed under CK-12 Curriculum Materials License.

Answers

  1. \dfrac{\frac{1}{12}}{\frac{1}{6}} = \frac{6}{12} = \frac{1}{2}



  2. \dfrac{\frac{1}{12}}{\frac{1}{6}} = \frac{6}{12} = \frac{1}{2}



  3. \dfrac{\frac{1}{12}}{\frac{1}{6}} = \frac{6}{12} = \frac{1}{2}