A stack of cards consists of six red and five blue cards.

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QUESTION:

A stack of cards consists of six red and five blue cards. A second stack of cards consists of nine red cards. A stack is selected at random and three of its cards are drawn. If all of them are red, what is the probability that the first stack was selected?

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QUESTION:

A stack of cards consists of six red and five blue cards. A second stack of cards consists of nine red cards. A stack is selected at random and three of its cards are drawn. If all of them are red, what is the probability that the first stack was selected?

ANSWER:

Step 1 of 2

Let,

The event of selecting the first stack.

The event of selecting the second stack.

The event that all red cards are drawn.

A stack of cards consists of six red and five blue cards. A second stack of cards consists of nine red cards.

Since, there are two stacks,

Now,

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