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21 October, 19:13

Tom plants 3 seeds.

The probability that a seed will germinate is 4/5.

A) Calculate the probability that all 3 seeds will germinate.

B) Calculate the probability that at least one of the seeds will germinate.

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  1. 21 October, 19:15
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    A. 64/125

    B. 124/125.

    Step-by-step explanation:

    A). As the events (germinate or not germinate) are independent we multiply the probabilities.

    Prob (All seeds germinate) = 4/5*4/5*4/5 = 64/125.

    B). Probability of at least one germinating = 1 - probability that none germinate

    Probability of 1 seed not germinating = 1 - 45 = 1/5.

    So Prob (at least one germinating)

    = 1 - (1/5 * 1/5 * 1/5)

    = 1 - 1/125

    = 124/125.
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