Answer to Question #145897 in Statistics and Probability for rwan alqmash

Question

A deck of playing cards, what is the probability of drawing either a black card or a
6 in a single draw?

Answer 1

We have 52 cards

Number of ways to draw a black card or 6 = number to draw a black card + number to draw 6 – number to draw black 6

There are 26 black cards (13 clubs and 13 spades)

There are 4 six and 2 of them are black

Therefore we have:

Number of ways to draw a black card or 6 = 26 + 4 – 2 = 28

P(drawing a black card or 6) = $\frac{28}{52}=\frac{7}{13}$