Question

a video game allows a player to create a clothes outfit by choosing 1 of 3 hats, 1 of 2 shirts, and 1 of 4 pants. the game has two players. what are the chances that both players create the same clothes outfit? a 1 in 100 b 1 in 6 c 1 in 24 d 1 in 64

Explanation:

Step1: Calculate total number of outfits

The number of ways to create an outfit is found by multiplying the number of choices for each clothing - item. Using the counting principle, the total number of outfits is \(3\times2\times4=24\).

Step2: Calculate probability of both players choosing the same outfit

The first player can choose any of the 24 outfits. The second player has a 1 in 24 chance of choosing the same outfit as the first player.

Answer:

C. 1 in 24