Practice with Conditional Probability
Site: | Saylor Academy |
Course: | GKT101: General Knowledge for Teachers – Math |
Book: | Practice with Conditional Probability |
Printed by: | Guest user |
Date: | Wednesday, May 14, 2025, 4:42 AM |
Description
Complete these exercises and check your answers.
Review Questions
- 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 fair dice are rolled. What is the probability that the sum is even given that the first die rolled is a 5?
- 2 fair dice are rolled. What is the probability that the sum is odd given that the first die rolled is a 5?
- 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?
- 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/
Answers
- \(\dfrac{\frac{1}{12}}{\frac{1}{6}} = \frac{6}{12} = \frac{1}{2}\)
- \(\dfrac{\frac{1}{12}}{\frac{1}{6}} = \frac{6}{12} = \frac{1}{2}\)
- \(\dfrac{\frac{1}{12}}{\frac{1}{6}} = \frac{6}{12} = \frac{1}{2}\)