Question

A ball is drawn randomly from a jar that contains 8 red balls, 5 white balls, and 6 yellow balls. Find theprobability of the given event. Write your answers as reduced fractions or whole numbers.(a) P(A red ball is drawn) =(b) P(The ball drawn is NOT red) =(c) P(A green ball is drawn) =

Answer 1

Probability is expressed as

number of favorable outcomes/total number of possible outcomes

In this case, the total number of balls that we want to choose from is the total number of possible outcomes

Thus,

the total number of possible outcomes = 8 + 5 + 6 = 19

a) To pick a red ball, number of favorable outcomes = 8

Thus,

P(A red ball is drawn) = 8/19

b) To pick a ball that is not red, number of favorable outcomes would be the sum of the white and yellow balls = 5 + 6 = 11

P(The ball drawn is NOT red) = 11/19

c) The number of green balls is zero. Thus,

P(A green ball is drawn) = 0/19 = 0