Question

you are dealt one card from a standard 52 - card deck. find the probability of being dealt a black card. click the icon to view a description of a standard deck of playing cards. the probability of being dealt a black card is (type an integer or a simplified fraction.)

Explanation:

Step1: Determine the number of black cards

A standard deck has 52 cards. There are 26 black cards (13 spades and 13 clubs).

Step2: Use the probability formula

Probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (black cards) is \(n = 26\), and the total number of outcomes (total cards) is \(N=52\). So \(P=\frac{26}{52}\).

Step3: Simplify the fraction

\(\frac{26}{52}=\frac{26\div26}{52\div26}=\frac{1}{2}\)

Answer:

\(\frac{1}{2}\)