Question

1. you randomly choose cards from a standard deck of 52 cards. the deck has four suits with 13 cards in each suit. the suits are hearts, diamonds, clubs, and spades. what is the probability that you will choose a heart?

Explanation:

Step1: Determine the number of favorable outcomes

There are 13 hearts in a standard deck of 52 cards. So, the number of favorable outcomes \( n(F)=13 \).

Step2: Determine the total number of outcomes

The total number of cards in the deck is 52. So, the total number of outcomes \( n(T) = 52 \).

Step3: Calculate the probability

The probability formula is \( P=\frac{n(F)}{n(T)} \). Substituting the values, we get \( P=\frac{13}{52}=\frac{1}{4} \).

Answer:

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