Question

Three cards are drawn from a pack of $52$ cards with replacement, find the probability of getting $3$ red cards.

• A. $\frac{7}{8}$
• B. $\frac{5}{4}$
• C. $\frac{3}{8}$
• D. $\frac{1}{8}$

Answer 1

Answer: (D)

$\frac{1}{8}$

Given: Out of $52$ cards, $3$ cards are drawn with replacement

To find the probability of getting $3$ red cards

According to the question,

$n\left(S\right)=52$

Number of red cards in the pack $=26$

Hence the probability of getting $3$ red cards is $\frac{26}{52}\times \frac{26}{52}\times \frac{26}{52}=\frac{1}{8}$