Q:

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.

Accepted Solution

A:
Answer:The probability of getting a jack, a three, a club or a diamond is 0.58.Step-by-step 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 = 13Number of diamond cards = 13Number of jack = 4Number of 3 = 4Jack of club  and diamond = 23 of club  and diamond = 2Total number of cards that are either a jack, a three, a club or a diamond is[tex]13+13+4+4-2-2=30[/tex]The probability of getting a jack, a three, a club or a diamond is[tex]Probability=\frac{\text{A jack, a three, a club or a diamond}}{\text{Total number of cards}}[/tex][tex]Probability=\frac{30}{52}[/tex][tex]Probability=0.576923076923[/tex][tex]Probability\approx 0.58[/tex]Therefore the probability of getting a jack, a three, a club or a diamond is 0.58.