Question

PLEASE HELP DONT SKIP I NEED YOU

Find the number of different outfits that can be made from 3 sweaters, 4 shirts, and 6 pants. Then find the probability of selecting a particular sweater, shirt, and pants outfit.

outcome -

Probability (as a fraction) -

Answer 1

72 outfits possible,

1/72 chance of selecting a particular outfit

Explanation:

For each of the 3 sweaters, there are 4 shirts to choose from, and for each of those 4 shirts, there are 6 pants to choose from. Therefore, there are totally
`3\cdot 4\cdot 6=72` outfits to choose from (order is fixed and therefore negligible). A specific outfit would represent 1 of these 72 outfits. Therefore, the probability of selecting a particular outfit is
`\boxed{(1)/(72)}`