In the swimsuit drawer, there are 5 green swimsuits, 6 blue swimsuits, and 4 Spi

Question

In the swimsuit drawer, there are 5 green swimsuits, 6 blue swimsuits, and 4 Spider-Man swimsuits, If I grab three swimsuits randomly out of the swimsuit drawer, what is the probability that all three boys will be wearing matching green swimsuits for swim lessons today? In the swimsuit drawer, there are 5 green swimsuits, 6 blue swimsuits, and 4 Spider-Man swimsuits, If I grab three swimsuits randomly out of the swimsuit drawer, what is the probability that all three boys will be wearing matching green swimsuits for swim lessons today? In the swimsuit drawer, there are 5 green swimsuits, 6 blue swimsuits, and 4 Spider-Man swimsuits, If I grab three swimsuits randomly out of the swimsuit drawer, what is the probability that all three boys will be wearing matching green swimsuits for swim lessons today?

Explanation / Answer

There are 5+6+4 = 15 swimsuits.

There are 15C3 = 455 ways to choose any 3 swimsuits.

Meanwhile, there are 5C3 = 10 ways to choose all 3 green.

Hence,

P(all green) = 10/455= 0.021978022 [ANSWER]

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