Q10. If two events are independent, the probability that they both will occur is:

A)   Cannot be determined from the information given.

B)   0.50.

C)   0.00.

Q11. A very large company has twice as many male employees relative to female employees. If a random sample of four employees is selected, what is the probability that all four employees selected are female?

A)   0.3333.

B)   0.0625.

C)   0.0123.

答案和详解如下：

Q10. If two events are independent, the probability that they both will occur is:

A)   Cannot be determined from the information given.

B)   0.50.

C)   0.00.

Correct answer is A)

If two events are independent, their probability of their joint occurrence is computed as follows:  P(A∩B) = P(A) × P(B). Since we are not given any information on the respective probabilities of A or B, there is not enough information.

Q11. A very large company has twice as many male employees relative to female employees. If a random sample of four employees is selected, what is the probability that all four employees selected are female?

A)   0.3333.

B)   0.0625.

C)   0.0123.

Correct answer is C)

Since there are twice as many male employees to female employees, P(male) = 2/3 and P(female) = 1/3. Therefore, the probability of 4 “successes” = (0.333)⁴ = 0.0123.

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