Answer:
0.13824
Explanation:
You want the probability of exactly 4 successes in 6 trials if the probability of success in each trial is 0.4.
Binomial probability
The probability of k successes in n trials with each having a probability of success of p is given by the formula ...
P(k of n) = nCk·p^k·(1-p)^(n-k)
P(4 of 6) = 6C4·0.4^4·0.6^2 = 15·0.0256·0.36 = 0.13824
The probability of exactly 4 successes is 0.13824.
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Additional comment
The binomial coefficient nCk is computed as ...
nCk = n!/(k!(n-k)!)
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