Question

A Man has four pairs of shoes three suits and four shirts if he picks a pair of shoes, a suit, and a shirt at random, what is the probability that he picks his favorite shoes, suit, and shirt? Enter the probability as a fraction

Answer 1

The man has 4 pairs of shoes

3 suits and

4 shirts

Probability is given as

`\text{Probability = }\frac{\exp ected\text{ outcome }}{\text{total outcome }}`

If he is to pick his favorite pair of shoes, suit and shirts, it means he will pick 1 pair of shoe, 1 suit and 1 shirt.

Then the probability of picking

His favorite pair of shoes becomes

`(1)/(4)`

Then the probability of picking

His favorite suit becomes

`(1)/(3)`

And Then the probability of picking

His favorite shirt becomes

`(1)/(4)`

Hence the required probability is

`\begin{gathered} (1)/(4)*(1)/(3)*(1)/(4) \\ =(1)/(48) \end{gathered}`

Hence the answer is

`(1)/(48)`