Problem

1. On any given day, the probability that Elise will have a quiz is 0.46 and the probability that Ella will have a quiz is 0.38 . If the event of Elise having a quiz is independent of the event of Ella having a quiz, what is the probability that Elise and Ella will have a quiz on the same day?

Solution

Step 1 :Given the probability of Elise having a quiz is 0.46 and Ella having a quiz is 0.38, we can find the probability of both having a quiz on the same day by multiplying the individual probabilities since the events are independent: \(0.46 \times 0.38\)

Step 2 :Calculating the product, we get \(0.46 \times 0.38 = 0.1748\). Therefore, the probability that Elise and Ella will have a quiz on the same day is \(\boxed{0.1748}\)

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Source: https://solvelyapp.com/problems/10756/

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