Question

Three cards are drawn from a pack of $52$ cards with replacement. Find the probability of getting three ace cards.

• A. $\frac{1}{7898}$
• B. $\frac{1}{2244}$
• C. $\frac{1}{2197}$
• D. $\frac{5}{8098}$

Answer 1

The correct option is C $\frac{1}{2197}$

Given: $52$ cards with replacement.

To find the probability of getting three ace cards

As there are $4$ ace cards in the $52$ cards

Hence the probability of getting three ace cards with replacement

$=\frac{4}{52}\times \frac{4}{52}\times \frac{4}{52}=\frac{1}{2197}$