Suppose that we draw two cards from a standard deck without replacement. What is the probability...

Suppose that we draw two cards from a standard deck without replacement. What is the probability that we draw the king of hearts and then any other heart? White your answer in decimal form, rounded to three decimal places.

Expert Solution

In a standard deck of cards, there are 52 cards which consists of 13 hearts, 13 clubs, 13 spades and 13 diamonds.

2 cards are drawn without replacement.

The probability that we draw the king of hearts and then any other heart is

Probability = (Drawing 1 king of heart out of 52 cards) * (Drawing 1 heart card selected from remaining 12 hearts out of 51 cards)

= (1 / 52) * (¹²C₁ / 51)

= (1 / 52) * (12 / 51)

= 1 / 221

= 0.005

Therefore, the probability that we draw the king of hearts and then any other heart is 0.005

orchestra answered 2 years ago

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