Question

14 out of 52 cards, find p(face card | spade) a 23% b 25% c 92% d 46%

Explanation:

Step1: Identify number of spades

There are 13 spades in a 52 - card deck.

Step2: Identify number of face - card spades

There are 3 face - card spades (Jack, Queen, King of spades).

Step3: Calculate conditional probability

The formula for conditional probability $P(A|B)=\frac{P(A\cap B)}{P(B)}$. In the case of equally - likely outcomes, $P(\text{Face Card}|\text{Spade})=\frac{\text{Number of face - card spades}}{\text{Number of spades}}=\frac{3}{13}\approx 0.2308\approx 23\%$.

Answer:

A. 23%