You are dealt one card from a deck of 52 cards find the probability that you are dealt a 5 or a black card is answered in fractions. simplify.
There are 52 cards in a deck.
There are 4 fives in the deck.
There are 26 black cards in the deck.
The probability of being dealt a 5 or a black card is given by:
Probability = (Number of favorable outcomes)/(Total number of possible outcomes)
Number of favorable outcomes = number of fives + number of black cards - number of fives that are black (to avoid double-counting)
Number of favorable outcomes = 4 + 26 - 2 (there are 2 fives that are black)
Number of favorable outcomes = 28
Total number of possible outcomes = 52
Probability = 28/52
Probability = 7/13
So, the probability of being dealt a 5 or a black card is 7/13.