Question

given a standard deck of cards, what is the probability of randomly choosing a diamond? simplified

Explanation:

Step1: Determine total and favorable cards

A standard deck has \(52\) cards. There are \(13\) diamond - suited cards.

Step2: Calculate probability

Probability formula is \(P=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}\). Here, \(P = \frac{13}{52}\).

Step3: Simplify the fraction

Divide numerator and denominator by \(13\), \(\frac{13\div13}{52\div13}=\frac{1}{4}\).

Answer:

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