In a standard deck of cards, what is the probability of pulling a 10 or a black card?
Answer (2)
The probability of pulling a 10 or a black card from a standard deck of cards is 13 7 , which is approximately 53.85%. This is determined by counting the total favorable outcomes using the inclusion-exclusion principle. The calculations show that there are 28 favorable cards out of 52 total cards.
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Answer as a fraction = 7/13
Answer as a decimal = 0.5385 (approximate)
Answer as a percentage = 53.85% (approximate)
Round the approximate values however your teacher instructs.
Work Shown
A = number of 10s in the deck = 4
B = number of black cards = 26
C = number of black 10s = 2
D = number of cards that are black, a 10, or both
D = A+B-C .... using inclusion-exclusion principle
D = 4+26-2
D = 28 cards are either a black, a 10, or both
D/52 = probability of getting a 10 or a black card
D/52 = 28/52 = 7/13 is the answer in fraction form
Use a calculator to find that,
7/13 = 0.5385 = 53.85% approximately
