Question

55% of the customers of a bakery buy chocolate cakes. On a certain day, six customers...

55% of the customers of a bakery buy chocolate cakes. On a certain day, six customers purchased a cake from the store. If among them there is at least one customer who bough chocolate cake, what is the probability that two or more of them bought chocolate cake? Assume that these customers decide independently.

Math   Statistics-And-Probability   
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Answer #1

Let X denotes the number of customers who bought chocolate cake among 6 randomly selected customers.

Here,

X ~ Binomial(n = 6, p = 0.55)

The probability mass function of X is

Now,

If among them there is at least one customer who bough chocolate cake, the probability that two or more of them bought chocolate cake is

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