Question

1. what is the probability of drawing a jack or a red card form a standard deck of 52 cards? answer needs to be in the reduced fraction. $\frac{1}{2}$ $\frac{7}{13}$ $\frac{24}{52}$ $\frac{1}{26}$ clear all

Explanation:

Step1: Calculate number of red cards and jacks

There are 26 red cards (13 hearts and 13 diamonds) and 4 jacks in a deck. But 2 jacks are red (jack of hearts and jack of diamonds), so we don't double - count them. The number of favorable outcomes $n = 26+4 - 2=28$.

Step2: Calculate probability

The total number of cards in a deck is $N = 52$. The probability $P=\frac{n}{N}=\frac{28}{52}=\frac{7}{13}$.

Answer:

$\frac{7}{13}$