Question

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?

Answer 1

The probability of drawing three aces in a row is the likelihood of drawing three aces

The probability of drawing three aces in a row is 0.000181

How to determine the probability?

In a standard deck of 52 cards, there are 4 aces.

Given that the selection is without replacement; then we have the following selections:

• First: 4 aces in 52 cards
• Second: 3 aces in 51 cards
• Third: 2 aces in 50 cards

The probability is then calculated as;

$P = \frac{4}{52} * \frac{3}{51} * \frac{2}{50}$

Evaluate the products

$P = 0.00018099547$

Approximate

$P = 0.000181$

Hence, the probability of drawing three aces in a row is 0.000181

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