Question

55 different ties, 66 different shirts, and 44 different pants to wear in his wardrobe. Of those items he has exactly one green tie exactly one gray shirt and exactly one pair of black pants if he randomly selects each item of clothing at random what is the probability that he will wear the green tie, gray, shirt and black pants

Answer 1

Probability he picks the green tie: 1/55

Probability he picks the gray shirt: 1/66

Probability e opcks the black pants:1/44

The probability that he's going to wear the green tie AND the gray shirt AND the black pants:

$\begin{gathered} P=\frac{1}{55}*\frac{1}{44}*\frac{1}{66} \\ P=\frac{1}{159720} \\ P=0.00000626 \end{gathered}$