Asmita went to a blackjack table at the casino. At the table, the dealer has just shuffled a standard deck of 52 cards. Asmita has had good luck at blackjack in the past, and she actually got three blackjacks with Aces in a row the last time she played. Because of this lucky run, Asmita thinks that Ace is the luckiest card. The dealer deals the first card to her. In a split second, she can see that it is a non-face card, but she is unsure if it is an Ace.What is the probability of the card being an Ace, given that it is a non-face card? Answer choices are in a percentage format, rounded to the nearest whole number. 77%8%10%69%
Question
Asmita went to a blackjack table at the casino. At the table, the dealer has just shuffled a standard deck of 52 cards. Asmita has had good luck at blackjack in the past, and she actually got three blackjacks with Aces in a row the last time she played. Because of this lucky run, Asmita thinks that Ace is the luckiest card. The dealer deals the first card to her. In a split second, she can see that it is a non-face card, but she is unsure if it is an Ace.What is the probability of the card being an Ace, given that it is a non-face card? Answer choices are in a percentage format, rounded to the nearest whole number. 77%8%10%69%
Solution
In a standard deck of 52 cards, there are 4 Aces and 12 face cards (King, Queen, Jack). The rest of the cards are non-face cards.
So, the total number of non-face cards is 52 (total cards) - 12 (face cards) = 40 cards.
Given that Asmita has a non-face card, the probability that it is an Ace is the number of Aces divided by the total number of non-face cards.
So, the probability = 4 (Aces) / 40 (non-face cards) = 0.1 or 10%.
Therefore, the correct answer is 10%.
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