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 ⋮ Calculate the total number of outcomes for picking one piece of clothing and one color. ‖ ‖ step 2 ⋮ There are 4 pieces of clothing and 3 colors, so the total number of outcomes is $4 imes 3 = 12$. ‖ ‖ step 3 ⋮ Identify the favorable outcome, which is picking an orange hat. ‖ ‖ step 4 ⋮ There is only 1 way to pick an orange hat. ‖ ‖ step 5 ⋮ Calculate the probability of the favorable outcome by dividing the number of favorable outcomes by the total number of outcomes. ‖ ‖ step 6 ⋮ The probability is $\frac{1}{12}$. ‖ ∻Answer∻ ⚹ $\frac{1}{12}$ ⚹ ∻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 (orange hat) out of twelve possible outcomes when selecting a piece of clothing and a color.⚹◊What is the total number of possible outcomes when selecting a piece of clothing and a color from the options given?⍭ Generate me a similar question◊

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