Practice with Conditional Probability

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/

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