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17 January, 07:43

If the probability of a student spending time reading is 0.10, the probability of spending time watching TV is 0.90 and the probability of spending time reading and watching TV is 0.03, what is the probability of a student spending time reading or watching TV

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  1. 17 January, 07:50
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    The probability is 0.97

    Step-by-step explanation:

    In this question, we are concerned with calculating the probability of a student spending time reading or watching TV.

    To calculate this, we simply use a direct mathematical formula.

    P (of spending time reading or watching tv) = P (of spending time reading) + P (spending time watching Tv) - P (of spending time watching Tv and reading)

    From the question, we identify the probabilities as follows;

    P (spending time reading) = 0.1

    P (of spending time watching Tv) = 0.9

    P (of spending time watching Tv and reading) = 0.03

    Now, plugging these values, we have

    P (of spending time reading or watching Tv) = 0.9 + 0.1 - 0.03

    = 1-0.03 = 0.97
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