As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King).
a. If a card is randomly selected, what is the probability of drawing a(n) 5 of one suit?

The probability is the ratio of the favorable event to the total number of events. Then the probability of drawing 5 is 0.0769.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

As shown above, a classic deck of cards is made up of 52 cards, 26 are black, and 26 are red.

Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red).

Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King).

Then the probability of drawing a 5 of one suit will be given as

Total event = 52

Favorable event = 4 {5 club, 5 spade, 5 heart, and 5 red}

Then we have

[tex]\rm P=\dfrac{4}{52}\\\\P=\dfrac{1}{13}\\\\P=0.0769[/tex]

More about the probability link is given below.

https://brainly.com/question/795909