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Javier is the proud owner of an eclectic bow tie collection. He keeps track of how many bow ties he has, and organizes them by pattern and material. Velvet Cotton Zigzags 1 5 Swirls 4 7 Smiley faces 5 6 What is the probability that a randomly selected bow tie is designed with swirls or smiley faces? Simplify any fractions.

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Solution

We have the following info:

Velvet Cotton Total

Zigzags 1 5 6

Swirls 4 7 11

Smiley faces 5 6 11

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Total 10 18 28

We can define the following events:

A= the selected bow is designed by swirls

B= selected bow is designed by smiley faces

We can do this:

P(A)= 11/28

P(B)= 11/28

P(A and B ) =

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