Select the correct answerTwo cards are drawn simultaneously from a well shuffled pack of cards. Find the probability of both being Honor cards.Options23/66320/22129/2212/221
Question
Select the correct answerTwo cards are drawn simultaneously from a well shuffled pack of cards. Find the probability of both being Honor cards.Options23/66320/22129/2212/221
Solution
The term "Honor cards" in a deck of cards usually refers to the cards from 10 to Ace. So, there are 16 honor cards in a deck of 52 cards.
The probability of drawing an honor card on the first draw is 16/52 = 4/13.
After drawing one honor card, there are now 15 honor cards left out of a total of 51 cards. So, the probability of drawing an honor card on the second draw is 15/51.
The probability of both cards being honor cards is the product of the individual probabilities, so it's (4/13) * (15/51) = 60/663 = 20/221.
So, the correct answer is 20/221.
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