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26 January, 01:39

Each day, there is a 75% chance that elise will do her homework. what is the probability she does her homework on monday or tuesday?

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  1. 26 January, 01:56
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    This problem is easier solved by finding the probability that she does NOT do her homework both Monday and Tuesday, which is obtained by the multiplication rule.

    P (no HW on Monday) = 1-0.75 = 0.25

    P (no HW on Tuesday) = 1-0.75 = 0.25

    P (no HW on both Monday and Tuesday) = 0.25*0.25=0.0625

    [by the multiplication rule]

    This means that the rest of the time (1-0.0625=0.9375) Elsie does her homework either Monday, or Tuesday, or both days.

    =>

    P (HW either Monday, Tuesday, or both) = 0.9375

    (note: in current English, Monday or Tuesday means "either Monday, Tuesday, or both days")
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