Question

If one card is drawn from a standard 52 card playing deck, determine the probability of getting a jack, a three, a club or a diamond. Round to the nearest hundredth.

Answer 1

The probability of getting a jack, a three, a club or a diamond is 0.58.

Explanation:

In a standard deck of 52 cards have 13 club, 13 spade, 13 diamond, 13 heart cards. Each suit has one jack and 3.

Number of club cards = 13

Number of diamond cards = 13

Number of jack = 4

Number of 3 = 4

Jack of club and diamond = 2

3 of club and diamond = 2

Total number of cards that are either a jack, a three, a club or a diamond is

`13+13+4+4-2-2=30`

The probability of getting a jack, a three, a club or a diamond is

`Probability=\frac{\text{A jack, a three, a club or a diamond}}{\text{Total number of cards}}`

`Probability=(30)/(52)`

`Probability=0.576923076923`

`Probability\approx 0.58`

Therefore the probability of getting a jack, a three, a club or a diamond is 0.58.