Question #15903

A card is drawn from pack of 52 cards and it is thrown away.Then another card is drawn.Find the probability that it is a queen.

Expert's answer

According to the full probability conception, we have:

P(second card is a queen) = P(to draw a queen if the first card was not a queen) +

& + P(to draw a queen if the first card was a queen).

We know that

P(to draw a queen if the first card was not a queen) = 4/53,

P(to draw a queen if the first card was a queen) = 3/53.

So,

P(second card is a queen) = 4/53 + 3/53 = 7/53.

P(second card is a queen) = P(to draw a queen if the first card was not a queen) +

& + P(to draw a queen if the first card was a queen).

We know that

P(to draw a queen if the first card was not a queen) = 4/53,

P(to draw a queen if the first card was a queen) = 3/53.

So,

P(second card is a queen) = 4/53 + 3/53 = 7/53.

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