Question

Two cards are missing from a pack of cards, one card is drawn, The probability that this card is a king is

• A. $\frac{1}{13}$
• B. $\frac{2}{13}$
• C. $\frac{25}{26}$
• D. None of these

Answer 1

The correct option is A $\frac{1}{13}$

Two cards are missing from 52 cards and one card is drawn

There are 4 king in 52 cards

case i) Two cards missing are king Probability of drawn card is king$=\frac{2}{50}$

case ii) One of the two cards missing is king Probability of drawn card is king$=\frac{3}{50}$

case iii) None of the two cards missing is king Probability of drawn card is king$=\frac{4}{50}$

Probability that card is king$=\frac{(2+3+4)}{50}=\frac{9}{50}$