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3. nadia owns 9 red shirts and 9 blue shirts. she randomly chooses a sh…

Question

  1. nadia owns 9 red shirts and 9 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. 3a will this affect the chances of choosing a red shirt tomorrow? no a yes b

Explanation:

Brief Explanations

To determine if putting the red shirt in the washing basket affects tomorrow's chance of choosing a red shirt, we analyze the total number of shirts and red shirts. Initially, there are \(9\) red and \(9\) blue shirts, so total shirts \(= 9 + 9 = 18\). After putting the red shirt in the washing basket, the number of red shirts available for tomorrow is \(9 - 1 = 8\), and total shirts available are \(18 - 1 = 17\). The probability of choosing a red shirt initially is \(\frac{9}{18}=\frac{1}{2}\), and after is \(\frac{8}{17}\approx0.47\), which is different from \(\frac{1}{2}\). So the action affects the chance.

Answer:

B. Yes