Question

If you select three cards from a standard deck of $52$ cards and they are all kings, what is the probability that the next card you select will also be a king?

• A. $\frac{1}{52}$
• B. $\frac{1}{49}$
• C. $\frac{1}{26}$
• D. $\frac{1}{13}$

Answer 1

The correct option is B $\frac{1}{49}$

After selecting $3$ kings, there will be $52-3=49$ cards
So, we can select next card in $49$ ways.
Totally there will be $4$ kings in a deck of $52$ cards, already $3$ kings are selected in first $3$ chances, so now we can select a king in $4^{th}$ chance in $1$ way.
Therefore, the probability is $\frac{1}{49}$.