Question

give the correct numerical response. note that a standard deck of playing cards has 52 cards - 4 suits (clubs, diamonds, hearts, spades), where each suit has 13 cards (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king).
the probability as a common fraction that the queen of diamonds is drawn from a fair standard deck of cards is
the probability as a common fraction that the queen of diamonds is drawn from a fair standard deck of cards is
(type an integer or a simplified fraction.)

Explanation:

Step1: Determine the number of favorable outcomes

There is only 1 queen of diamonds in the deck. So, the number of favorable outcomes \(n(F)=1\).

Step2: Determine the total number of outcomes

A standard deck has 52 cards. So, the total number of outcomes \(n(T) = 52\).

Step3: Use the probability formula

The probability formula is \(P=\frac{n(F)}{n(T)}\). Substituting the values, we get \(P=\frac{1}{52}\).

Answer:

\(\frac{1}{52}\)