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15 June, 03:54

A grab bag contains 4 football cards and 6 basketball cards. An experiment consists of taking one card out of the bag, replacing it, and then selecting another card. What is the probability of selecting a football card and then a basketball card? Express your answer as a decimal.

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  1. 15 June, 07:07
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    Total Number of cards = 4 + 6 = 10

    Number of Football cards = 4

    Number of Basketball cards = 6

    Probability of choosing a football card = 4/10 = 0.4

    Since this card is replaced, the total number of cards will remain the same.

    Probability of selecting a basketball card = 6/10 = 0.6

    Since, the two events are independent, the probability of selecting a football and a basketball card will be the product of two probabilities we calculated.

    Thus, probability of selecting a football card and then a basketball card = 0.4 x 0.6 = 0.24
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