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1 vote
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?

User Nschmidt
by
7.2k points

2 Answers

3 votes

Answer:

1/6

Ex: Khan Academy

User Senornestor
by
6.5k points
4 votes

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

User Peter Keefe
by
6.3k points