Use the General Addition Rule
-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.
A) 0.57
B) 0.65
C) 0.50
D) 0.15

Question

Quizplus · Accepted Answer

The probability of drawing a jack, a three, a club, or a diamond can be calculated using the General Addition Rule for probabilities, which is P(A or B) = P(A) + P(B) - P(A and B). In this case, there are 4 jacks, 4 threes, 13 clubs, and 13 diamonds in a deck of 52 cards. However, since clubs and diamonds include one jack and one three each, we must adjust for this overlap to avoid double-counting. The calculation is as follows: P(Jack or Three or Club or Diamond) = P(Jack) + P(Three) + P(Club) + P(Diamond) - P(Jack or Three in Clubs) - P(Jack or Three in Diamonds) = (4/52) + (4/52) + (13/52) + (13/52) - (2/52) - (2/52) = 30/52 ≈ 0.57 when rounded to the nearest hundredth.