Question

Ace, two, and three of clubs are removed from a deck of 52 playing cards, and the rest is shuffled. Find the probability of getting a red king if a card is drawn from the remaining cards.

• A. $\frac{1}{26}$
• B. $\frac{1}{49}$
• C. $\frac{1}{13}$
• D. $\frac{2}{49}$

Answer 1

The correct option is D $\frac{2}{49}$

Total number of outcomes $=52-3=49$

Cards of hearts and diamonds are red cards.

$\therefore$ Total number of red kings $=2$

For an event E,$\text{Probability P(E)}=\frac{\text{Number of outcomes favourable to E}}{\text{Number of all possible outcomes of the experiment}}$

$\therefore$ The probability of getting a red king $=\frac{2}{49}$