Name:______Block:______Date:______

12.6 Classwork: Or and And Problems

1.  a. In P(A or B), what does the word or indicate?

b. In P(A and B) what does the word and indicate?

2.  a. What are mutually exclusive events? Give an example.

b. How do you calculate P(A or B) when A and B are mutually exclusive?

3.  A family is selected at random. Let event A be the father likes to swim. Let event B be the mother likes chocolate chip cookies.

a.  Are events A and B mutually exclusive? Explain.

b.  Are they independent events? Explain.

4.  If P(A) = 0.6, P(B) = 0.4, and P(A and B) = 0.3, find P(A or B).

5.  If P(A or B) = 0.8, P(A) = 0.4, and P(A and B) = 0.1, find P(B).

In Exercises 6-11, one card is selected from a deck of playing cards. Find the probability of selecting

6.  an ace or a 2.

7.  a jack or a diamond.

8.  a picture card or a red card.

9.  a club or a red card.

In Exercises 6-11, one card is selected from a deck of playing cards. Find the probability of selecting

10.  a card less than 7 or a club. (Note: The ace is considered a low card.)

11.  a card greater than 9 or a black card.

Angel Sanchez has seven golf balls in one pocket of his golf bag: 4 Titleist balls, 2 Top Flite balls, and 1 Pinnacle ball. In Exercises 12-15, two balls will be selected at random. Find the probability of selecting

12.  a Titleist ball and then a Pinnacle ball

a.  with replacement

b.  without replacement

13.  no Top Flite balls

a.  with replacement

b.  without replacement

14.  at least one Top Flite ball

a.  with replacement

b.  without replacement

15.  two Pinnacle balls

a.  with replacement

b.  without replacement