... four and eight (inclusive) or is a club

## Answers (1)

A deck of 52 cards

Find the probability that the card is between four and eight (inclusive) or is a club.

between four and eight (inclusive): (♦,♣,♠,♥) * (4, 5, 6, 7, 8) = 4 * 5 = 20

or is a club: (♣) * 13 = 1 * 13 = 13

In order to not count the (♣) (4, 5, 6, 7, 8) twice,

we have to subtract 5 from the sum 20 + 13 = 33:

Allowed picks:33 - 5 = 28.

The probability to randomly pick one of these 28 cards from the deck is then:

P = 28 / 52 = 4 / 13 ≈ 0.538 or 53.8%.

It's, of course:

P = 28 / 52 = 7 / 13 ≈ 0.538 or 53.8%.

It's, of course:

P = 28 / 52 = 7 / 13 ≈ 0.538 or 53.8%.