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 socks that aren't blue?
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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 socks that aren't blue?
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Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Determine the total number of possible outcomes. There are 4 pieces of clothing and 3 colors, so the total number of outcomes is $4 \times 3 = 12$. ‖ ‖ step 2 ⋮ Identify the favorable outcomes. We want to pick socks that aren't blue. There are 3 colors (purple, blue, orange), so there are 2 favorable colors for socks (purple and orange). ‖ ‖ step 3 ⋮ Calculate the number of favorable outcomes. Since there are 2 favorable colors for socks, and only 1 piece of clothing (socks), the number of favorable outcomes is $1 \times 2 = 2$. ‖ ‖ step 4 ⋮ Calculate the probability. The probability is the number of favorable outcomes divided by the total number of outcomes: $$ P(\text{socks that aren't blue}) = \frac{2}{12} = \frac{1}{6} $$ ‖ ∻Answer∻ ***B*** ∻Key Concept∻ ⚹Probability of an event⚹ ∻Explanation∻ ⚹The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.⚹◊What is the total number of possible outcomes when picking a piece of clothing and a color?⍭ Generate me a similar question◊

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