Question

Henry is playing with a standard deck of cards. What is the probability that the next card he flips over is a jack or red?

Answer 1

0.54

Explanation:

In Probability "OR" means "ADDITION" and "AND" means "MULTIPLICATION"

Here, we want probability of Jack "OR" Red, so we find individual probabilities and then "ADD" them.

There are 26 cards that are RED, half of the deck. So probability of RED CARD is:

P(red) = 26/52 = 1/2

Now, there are 4 Jacks in the whole deck, 2 red Jack and 2 black Jack. We already accounted for the 2 red jacks, so we have 2 black Jacks at hand. So

P(Jack) = 2/52 = 1/26

Now, we add the 2 probabilities:

P(jack or red) = 1/2 + 1/26 = 13/26 + 1/26 = 14/26 = 0.54 (rounded to 2 decimal places)