Question

1. nadia owns 7 red shirts and 7 blue shirts. she randomly chooses a shirt for the day, and she gets a red shirt. at the end of the day, she puts it into the washing basket. 4a will this affect the chances of choosing a red shirt tomorrow? the correct option was b no yes b 5 nailed it! 4b will this affect the chances of choosing a blue shirt tomorrow? yes no

Explanation:

4b Solution:

Step 1: Analyze Initial Shirt Counts

Initially, red shirts (\(R\)) = 7, blue shirts (\(B\)) = 7, total shirts (\(T\)) = \(7 + 7 = 14\). Probability of blue shirt (\(P(B)\)) initially: \(\frac{7}{14}=\frac{1}{2}\).

Step 2: Analyze After Removing a Red Shirt

After putting a red shirt in the washing basket, red shirts = \(7 - 1 = 6\), blue shirts remain 7, total shirts = \(6 + 7 = 13\). New probability of blue shirt (\(P'(B)\)): \(\frac{7}{13}\).

Step 3: Compare Probabilities

Since \(\frac{1}{2}
eq\frac{7}{13}\), the probability of choosing a blue shirt changes. So the act of putting the red shirt in the basket (removing it from the available shirts for tomorrow) affects the chance.

Answer:

A. Yes