Question

Jenny draws a card from a standard pack of 52 cards What is the probability that she draws an Ace or a king

• A. $\frac{4}{13}$
• B. $\frac{1}{13}$
• C. $\frac{9}{13}$
• D. $\frac{2}{13}$

Answer 1

The correct option is D $\frac{2}{13}$

A standard pack of 52 cards has $4$ Aces and $4$ Kings
Probability of drawing an Ace = $\frac{{}^4{C}_1}{{}^{52}{C}_1}$ = $\frac{4}{52}=\frac{1}{13}$
Probability of drawing a King = $\frac{{}^4{C}_1}{{}^{52}{C}_1}=\frac{4}{52}=\frac{1}{13}$
Probability of drawing an Ace or a king = Probability of drawing an Ace $+$ Probability of drawing a King = $\frac{1}{13}+\frac{1}{13}=\frac{2}{13}$