Question

if a card is drawn from a standard deck of 52 cards, what is the probability that it is a jack? what is a standard deck of 52 cards?

Explanation:

Step1: Determine total and favorable outcomes

A standard deck has 52 cards (total outcomes: \( n = 52 \)). There are 4 Jacks (favorable outcomes: \( m = 4 \)).

Step2: Apply probability formula

Probability \( P = \frac{\text{favorable outcomes}}{\text{total outcomes}} = \frac{4}{52} \).

Step3: Simplify the fraction

Simplify \( \frac{4}{52} \) by dividing numerator and denominator by 4: \( \frac{4\div4}{52\div4} = \frac{1}{13} \).

Answer:

\(\frac{1}{13}\)