You are dealt one card from a 52-card deck. Find the probability that you are dealt a five or a black card.
There are four fives in a deck of 52 cards (one five of each suit), and there are 26 black cards in a deck of 52 cards (13 black spades and 13 black clubs).
The probability of being dealt a five is therefore 4/52 = 1/13.
The probability of being dealt a black card is 26/52 = 1/2.
To find the probability of being dealt a five or a black card, we can add the probabilities of being dealt a five and being dealt a black card:
P(five or black) = P(five) + P(black)
= 1/13 + 1/2
= (2 + 13)/26
= 15/26
Therefore, the probability of being dealt a five or a black card is 15/26.