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Answer to Question #15903 in Statistics and Probability for Viraj

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.





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