# Probability and Statistics

### Exercises

#### Exercise 7

For the following pair of events, (a) determine if the two events A and B are mutually exclusive, and (b) find the probability that A or B (or both) happens.

Penny has a green shirt, a purple shirt, and a red shirt. Seemingly, she shops at the same place where Jenny bought her shoes. Penny also has black pants and blue pants. She picks a shirt at random and picks a pair of pants at random. What an appearance-conscious fashionista she is.

Hey, it was dark when she got dressed. Cut her some slacks.

Event A: Penny wears a green shirt.

Event B: Penny wears black pants.

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