Select the correct answerTwo cards are drawn simultaneously from a well shuffled pack of cards. Find the probability of both being Honor cards.Options29/2212/22120/22123/663
Question
Select the correct answerTwo cards are drawn simultaneously from a well shuffled pack of cards. Find the probability of both being Honor cards.Options29/2212/22120/22123/663
Solution
The term "Honor cards" in a deck of cards usually refers to the cards of Ace, King, Queen, and Jack. In a standard deck of 52 cards, there are 16 honor cards (4 Aces, 4 Kings, 4 Queens, and 4 Jacks).
The probability of drawing an honor card on the first draw is 16/52 (the number of favorable outcomes divided by the total number of outcomes).
When we draw a second card, we do not replace the first card, so there are now 51 cards left in the deck. If the first card drawn was an honor card, there are now 15 honor cards left. So, the probability of drawing an honor card on the second draw is 15/51.
Because these are independent events, we multiply the probabilities together to get the overall probability. So, the probability of both cards being honor cards is (16/52) * (15/51) = 240/2652 = 20/221.
So, the correct answer is 20/221.
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