Question

5 cards are drawn at random from a standard deck. Find the probability that all cards are face cards.

Answer 1

Answer:

99 / 324,870 or 3%

Step-by-step explanation:

there are 12 face cards out of a total of 52 cards

probability of 5 face cards = $\frac{12}{52}$ · $\frac{11}{51}$ · $\frac{10}{50}$ · $\frac{9}{49}$ · $\frac{8}{48}$

Answer 2

The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be $99 / 324,870$

Calculation of the probability:

Since 5 cards are drawn at random from a standard deck

Also, we know that

there are 12 face cards out of a total of 52 cards

So here the probability be like

$= 12/52 \times 11/51 \times 10/50 \times 9/49 \times 8/48$

= $99 / 324,870$

Hence, The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be $99 / 324,870$

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