Question

zach went shopping for some new clothes. He purchased 3 new shirts(solid,striped,plaid)2 pairs of pants(blue,and grey)and two new ties (a bow tie and a regular tie) what is the probability of him wearing a solid shirt,blue pants and a bow tie?

Answer 1

Probability of Zach wearing a solid shirt, blue pants, and a bow tie is 1/12.

Explanation:

The probability of Zach wearing a solid shirt, blue pants, and a bow tie is equal to the product of the probabilities of each event happening independently.

The probability of Zach wearing a solid shirt is 1/3, since he has 3 shirts and only one of them is solid.

The probability of him wearing blue pants is 1/2, since he has 2 pairs of pants and only one of them is blue.

The probability of him wearing a bow tie is 1/2, since he has 2 ties and only one of them is a bow tie.

Therefore, the probability of Zach wearing a solid shirt, blue pants, and a bow tie is:

P(solid shirt) * P(blue pants) * P(bow tie) = 1/3 * 1/2 * 1/2 = 1/12

So the probability of Zach wearing a solid shirt, blue pants, and a bow tie is 1/12.