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.

Answer 1

The probability of the card being an ace, given that it is a non-face card will be 0.1 or 10%

As we know,

There are total 52 cards.

Out of 52 cards, (Kings, Queen, Ace) are faced card.

And each set of cards have 4 different colour and shades.

So, total number of faced card will be = 4*3 = 12

So, total number of not a faced card = 52-12 = 40

So, the value of P (It is an ace and it is not a face card) =4/52

So, the value of P(It is not a face card)=40/50

$\begin{aligned} P\left(\frac{\text { It is a ace }}{\text { It is not a face curd }}\right) & =\frac{P(\text { It is an ace and it is not aface carl) }}{P(\text { It is not a face card) }} \\ & =\frac{\frac{4}{52}}{\frac{40}{52}}=\frac{4}{40}=0.1=10\% }\end{aligned}$

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