Question

You're at a clothing store that dyes your clothes while you wait. You get to pick from 4 pieces of clothing

(shirt, pants, socks, or hat) and 3 colors (purple, blue, or orange),
If you randomly pick the piece of clothing and the color, what is the probability that you'll end up with an
orange hat?
Stuck?

Answer 1

1/6

Ex: Khan Academy

Answer 2

1 / 12 is the probability that you'll end up with an orange hat.

Explanation:

Given that,

• There are 4 piece of clothing ⇒ shirt, pants, socks, or hat
• There are 3 possible colors ⇒ purple, blue, or orange

To find the total number of outcome :

Total outcomes ⇒ (number of clothes) × (number of colors)

⇒ 4 × 3 = 12

Therefore, there will be 12 different possibilities.

The 12 different outcomes are :

⇒ Purple shirt, blue shirt, orange shirt

⇒ Purple pants, blue pants, orange pants

⇒ Purple socks, blue socks, orange socks

⇒ Purple hat, blue hat, and orange hat.

Now, the probability that you'll end up with an orange hat if you choose on random of 12 possibilities ⇒ No.of orange hats / Total no.of outcomes.

∴ P(orange hat) = 1 / 12