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You have 10 different English textbooks and 14 different Chemistry textbooks on a shelf. Suppose you...

You have 10 different English textbooks and 14 different Chemistry textbooks on a shelf. Suppose you select 6 of the books at random. What is the probability that all the books are English texts? What is the probability that at least two chemistry texts are selected?

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Answer #1

The probability that a randomly selected book is Chemistry

Let X denotes the number of chemistry texts in a random sample of 6 books selected.

X ~ Binomial(n=6, p = )

The probability mass function of X is

Now,

a) The probability that all the books are English texts

= P(none of the books selected are Chemistry)

= P(X = 0)

b) The probability that at least two chemistry texts are selected

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