Question

if a card is drawn from a standard deck of 52 cards, what is the probability that it is a spade?
what is a standard deck of 52 cards?
question help:
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Explanation:

Step1: Identify total and favorable outcomes

A standard deck has 52 cards (total outcomes, \( n = 52 \)). Spades are 13 (favorable outcomes, \( m = 13 \)).

Step2: Apply probability formula

Probability \( P = \frac{\text{favorable outcomes}}{\text{total outcomes}} = \frac{13}{52} \).

Step3: Simplify the fraction

Simplify \( \frac{13}{52} \) by dividing numerator and denominator by 13: \( \frac{13\div13}{52\div13} = \frac{1}{4} \).

Answer:

\(\frac{1}{4}\)