Probability Assignment     

1.  A bag contains 6 chocolates, 4 caramels, and 5 peppermints.  Johnny reaches blindly into the bag and withdraws treat.

                  a.  What is the probability that he gets a chocolate?      

                  b.  What is the probability that he does not get a peppermint? 

                  c.  What is the probability that he gets a chocolate or a peppermint?   

 

 2.  Suppose P(A) = 0.35,  P(B) = 0.51 and P( ) = 0.17.  Complete

            a.  P() =       b.  P ( A or B) =   

3.  The letters r, e, a, and p are inscribed on four cards and placed in a hat.  They are drawn one at a time and arranged according to the ordered drawn.

            a.  Count the number of possible arrangements             

b.  What is the probability that the arrangement will have two vowels adjacent to one another?                                                                          

 4.  A card is drawn from a standard deck.  What is the probability that it is a king or a spade?                                                                                                   

 5. A box contains 7 white balls and 3 black balls.  One ball is drawn, then replaced, and a second ball is drawn.  What is the probability of getting two white balls? 

 

 6. Two dice are tossed.  What is the probability that the sum of the two numbers is:

            a.  Greater than ten?                 b.  Equal to nine? 

 

 7. A container contains 8 red marbles, 4 blue marbles, and 3 white marbles.

a.  If one marble is drawn at random from the container, find the probability that it is red.                                         

b.  If two marbles are drawn, one at a time, without replacement, find the probability that they are both the same color. 

c.  If two marbles are drawn, one at a time with replacement, find the probability that they are both the same color.                               

 8.  The probability the Steve passes his math test is 70%.  The probability he passes his Chemistry test is 90%.  The probability that he passes his History test is 80%.  What is the probability that he passes all 3 tests?                               

 

TEA

TREET

#1

#2

 9. If a letter is drawn from container 1, shown below, and placed in container 2, and then a letter is drawn from container 2, what is the probability that the last letter drawn is an A?                                                                                                                                                                                                         10. If a couple plans to have 3 children, what is the probability of having at least 2 girls?

 

DAD

DOG

#1

#2

11.  For the container to the left, select a container at random, and then select a letter from the chosen container.  What is the probability that the letter chosen is a D?                                                      

                                                                                                                                   

ANSWERS:

1. a) 2/5  b) 2/3  c) 11/15     2.  a) 0.65   b)  0.69     3.  a)  24  b) ½    4.  4/13   5.  49/100  

6. a) 1/12  b) 1/9 7. a)  8/15  b)  37/110  c) 89/225      8. 0.504   9.  1/18    10.  ½     11.  ½