Discover The Probability Of Drawing Three Aces In A Row From A Deck Of Cards Without Replacement

A regular deck of cards has 52 cards. Assuming that you do not replace the card you had drawn before the next draw, what is the probability of drawing three aces in a row?1 in 521 in 1561 in 20001 in 55251 in 132600

Answer: 1 in 5525Explanation : The probability of getting three aces in a row is the product of the probabilities for each draw. For the first ace, that is 4 in 52 or 1 in 13; for the second, it is 3 in 51 or 1 in 27; and for the third, it is 2 in 50 or 1 in 25. So the overall probability, P, is P=1/131/171/25=1/5,525

The probability of drawing one ace from a deck of 52 cards is 4/52 or 1/13. After one ace is drawn, there are 51 cards left in the deck, including 3 aces. The probability of drawing another ace is 3/51. After two aces are drawn, there are 50 cards left in the deck, including 1 ace. The probability of drawing the third and final ace is 1/50.

We need to multiply the probabilities of each of these events occurring in order to find the probability of drawing three aces in a row:

(1/13) * (3/51) * (1/50)

Simplifying this expression, we get:

1/(13*17,000)

The denominator can be simplified further:

1/221,000

So, the probability of drawing three aces in a row from a deck of cards without replacement is 1 in 221,000.

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