Two cards are drawn without replacement from a pack of 52 cards. … - Vidyadip

Question

Two cards are drawn without replacement from a pack of 52 cards. Find the probability that.
The first is a king and the second is an ace.

✓

Answer

We know that, there are 4 king and 4 ace in a pack of 52 cards.
Two cards are drawn without replacment
A = First catd is king
B = Second card an ace
P (The first card is a king second is an ace)
$=\text{P(A) }\text{P}\Big(\frac{\text{B}}{\text{A}}\Big)$
$=\frac{4}{52}\times\frac{4}{21}$
$=\frac{4}{663}$
Required probability $=\frac{4}{663}$

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