assume that the 13 employees consist of eight men and five women and that the assignments to day and night shifts are made at random. what is the probability that all four of the night-shift employees are men? round your answer to at least four decimal places. theprobabilitythatallfourofthenight-shiftemployeesaremenis.

Respuesta :

The probability that all four of the night-shift employees are men is found to be 0.097.

The total number of employees are 13. The number of women and men employees are eight and five respectively.

The probability of an event is,

P(E) = Total favorable outcomes/total number of possible outcomes.

Here in this case,

The total possible outcomes are 13C4,

So, we get, total possible outcomes = 715

Total favorable outcome are 8C4,

So, we get, total favorable outcomes = 70

Probability that all the employees working at night are men is,

P(E) = 70/715

P(E) = 0.097

So, the probability that all four night shift employees are men is 0.097.

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