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?

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?

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Identify the total number of outcomes for selecting a piece of clothing and a color. ‖ ‖ step 2 ⋮ Calculate the total number of outcomes: There are 4 pieces of clothing and 3 colors, so the total number of outcomes is $4 imes 3 = 12$. ‖ ‖ step 3 ⋮ Identify the number of favorable outcomes for selecting an orange hat. ‖ ‖ step 4 ⋮ Calculate the number of favorable outcomes: There is only 1 way to choose an orange hat. ‖ ‖ step 5 ⋮ Calculate the probability of selecting an orange hat. ‖ ‖ step 6 ⋮ The probability is the number of favorable outcomes divided by the total number of outcomes: $P( ext{orange hat}) = \frac{1}{12}$. ‖ ∻Answer∻ ⚹ The probability of randomly selecting an orange hat is $\frac{1}{12}$. ⚹ ∻Key Concept∻ ⚹Simple Probability⚹ ∻Explanation∻ ⚹The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, there is only one favorable outcome (an orange hat) out of twelve possible outcomes when selecting a piece of clothing and a color at random.◊What is the formula to calculate the probability of randomly selecting an orange hat when both the piece of clothing and the color are chosen at random?⍭ Generate me a similar question◊⚹

Sia