Question

Problem 6: Now, find the following probabilities. Remember to ask yourself the questions, 

• Is this a simple or compound probability?

• How many cards are being drawn?

• Which conjunction is used and should we add or multiply?

• If it is a compound probability, are the events dependent, independent, mutually exclusive, or not mutually exclusive?

• Which formula should be used?

Enter your answers as reduced fractions using / as the fraction bar. 

1. What is the probability of drawing a king, replacing it, and then another king? ?(?????)=$P(KandK)=$ Answer

   
   

2. What is the probability of drawing a black or a red card? AnswerP(R or B)P(B and R)P(B or R)P(R and B)

   
   

    = Answer

   
   

3. What is the probability of drawing a red queen, keeping it, and then drawing a black queen? (?($(P($ Answerblack queen or red queenred queen or black queenblack queen and red queenred queen and black queen

   
   

    )=$)=$ Answer

   
   

4. What is the probability of drawing a king, keeping it, and then drawing another king? ?(?$P(K$ Answerandor

   
   

    ?)=$K)=$ Answer

   
   

5. What is the probability of drawing a heart? ?($P($Answer

   
   

   )=$)=$ Answer

   
   

6. What is the probability of drawing a face card (jack, queen, or queen)? ?(?)=$P(F)=$ Answer

   
   

7. What is the probability of drawing an ace, a 2, and a 3, without replacement? ?(?$P(A$ Answerandor

   
   

    2$2$ Answerorand

   
   

    3)=$3)=$ Answer

   
   

8. What is the probability of drawing a Club or a 7? ?(?$P(C$ Answerandor

   
   

    7)=$7)=$ Answer

   
   

9. What is the probability of drawing an ace, a 2 or a 3? ?(?$P(A$ Answerorand

   
   

    2$2$ Answerorand

   
   

    3)=$3)=$ Answer