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5 trials with P(1 success) = 0.4096 and P(2 successes) = 0.2048: probability of exactly 3 or 4

The same question, asked 2 times: 2 May 2023 S2*, 10 May 2023 S1. Every wording below, oldest first.

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  1. Question 1

    2 May 2023 S2

    103
    Let in a Binomial distribution, consisting of 5 independent trials, probabilities of exactly 1 and 2 successes be 0.4096 and 0.2048 respectively. Then the probability of getting exactly 3 successes is equal to

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  2. Question 2

    10 May 2023 S1

    128
    In a Binomial distribution consisting of 5 independent trials, probabilities of exactly 1 and 2 successes are 0.4096 and 0.2048 respectively, then the probability of getting exactly 4 successes is

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