What is the minimum number of cards that must be drawn from an ordinary deck of cards to guarantee that you have been dealt at least three aces?

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02-08-2022
Mathematics

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What is the minimum number of cards that must be drawn from an ordinary deck of cards to guarantee that you have been dealt at least three aces?

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Anshuyadavidn Anshuyadavidn · Answer 1 · 2022-08-10T03:17:18-04:00

The minimum number of cards which must be drawn to get atleast 3 cards of aces is 4.

According to the given question.

We have a deck of cards.

As, we know that

The total numbers of cards in a deck = 52

Since, we have to find the minimum number of cards to be drawn so that we will get atleast 3 cards of aces.

As they have used atleast in the question so the cards can be more also so we have to reach at minimum number of cards to be drawn to guarantee atleast 3 cards of aces.

Number of suits in a standard deck= 4 (Clubs, Hearts, Diamond, Spades)

Number of aces in a suit = 1

We need atleast three cards of aces. Which means that we have 4*1 =4 cards from each suit.

Thereofre, the minimum number of cards which must be drawn to get atleast 3 cards of aces is 4.

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