Mathematics, 08.04.2021 03:50 jvsome8

A chef is choosing from 13 different entrees for an important banquet, 4 of which contain spinach. The guests will have a choice of 5 entrees. The chef has decided to choose the 5 at random. Write your answers as a decimals rounded to the nearest thousandth.

What is the probability that none of the chosen entrees contain spinach?
The probability that none contain spinach is
.
What is the probability that exactly one entree contains spinach?
The probability that exactly one entree contains spinach is
.
What is the probability that exactly 4 entrees have spinach?
The probability that exactly 4 entrees have spinach is
.
What is the probability that all 5 entrees have spinach?
The probability that all 5 entrees have spinach is
.

//I work well going backwards but I simply cannot find any solution to even a similar problem as this.. at least one that I can understand. Right now I'm going over Combinations and Premutations. If this could be done using those, I would be very grateful : )

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