Question

A bag contains 5 red balls, 6 white balls, 7 green balls, 8 black balls. One ball is drawn at random from the bag. Find the probability that the ball drawn is black or red

Answer 1

Sample space (S) = 5 + 6 + 7 + 8

n(S) = 26

Let A be the event of getting a black ball

n(A) = 8

P(A) = `("n"("A"))/("n"("S")) = 8/26`

Let B be the event of getting a red ball

n(B) = 5

P(B) = `("n"("B"))/("n"("S")) = 5/26`

Probability of getting black or red ball

P(A ∪ B) = P(A) + P(B)

= `8/26 + 5/26`

= `13/26`

= `1/2`