Questions: Find the number of outcomes in the complement of the given event. Out of 239 shoes in a department store, 164 are women's shoes.

Find the number of outcomes in the complement of the given event. Out of 239 shoes in a department store, 164 are women's shoes.
Transcript text: Find the number of outcomes in the complement of the given event. Out of 239 shoes in a department store, 164 are women's shoes.
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Solution

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Solution Steps

Step 1: Identify the total number of outcomes and the number of outcomes for the event of interest

The total number of outcomes, \(T\), is 239. The number of outcomes for the event of interest, \(E\), is 164.

Step 2: Apply the formula to find the number of outcomes in the complement

The formula to find the number of outcomes in the complement is: \[ \text{{Number of outcomes in the complement}} = T - E \] Substituting the given values, we get \( \text{Number of outcomes in the complement} = 239 - 164 = 75 \).

Final Answer:

The number of outcomes in the complement, rounded to 0 decimal places, is 75.

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