Question

All the spades are taken out from a pack of cards. From these cards, cards are drawn one by one without replacement till the ace of spade comes. The probability that the ace comes in the $4th$ draw is

• A. $\frac{1}{13}$
• B. $\frac{10}{13}$
• C. $\frac{3}{13}$
• D. None of these

Answer 1

The correct option is A

$\frac{1}{13}$

Explanation for the correct option:

Find the probability of coming ace of spade in $4th$ draw:

Total number of cards in a deck $=52$

Total number of spades $=13$

$\therefore$The required probability is $=\frac{12}{13}\times \frac{11}{12}\times \frac{10}{11}\times \frac{1}{10}$

$=\frac{\mathbf{1}}{\mathbf{13}}$

Hence, Option ‘A’ is Correct.