You are adult one card from a deck of 52 cards find the probability that you are dealt an 8 or a black card Answer in fractions Answer without simplifying
There are a total of 52 cards in a deck. Out of these, there are 4 cards that are 8's (8 of hearts, 8 of diamonds, 8 of clubs, and 8 of spades), and there are 26 cards that are black (13 of clubs and 13 of spades).
To find the probability of being dealt an 8 or a black card, we need to add the probabilities of being dealt an 8 and being dealt a black card, and then subtract the probability of being dealt an 8 of clubs (which is already counted in the probability of being dealt a black card).
Probability of being dealt an 8 = 4/52 = 1/13
Probability of being dealt a black card = 26/52 = 1/2
Probability of being dealt an 8 of clubs = 1/52
So, the probability of being dealt an 8 or a black card is:
(1/13) + (1/2) - (1/52)
= 4/52 + 26/52 - 1/52
= 29/52
Therefore, the probability of being dealt an 8 or a black card is 29/52.