Question

A bag of 31 tulip bulbs contains 10 red tulip bulbs, 11 yellow tulip bulbs, and 10 purple tulip bulbs. Suppose two tulip bulbs are randomly selected without replacement from the bag. (a) What is the probability that the two randomly selected tulip bulbs are both red

Answer 1

9/93

Explanation:

Given the sample space

10 red tulip bulbs,

11 yellow tulip bulbs, and

10 purple tulip

sample size= 10+11+10= 31

The probability of selecting the first red= 10/31

The probability of selecting the second red without replacement= 9/30

therefore the probability that the two randomly selected are both red is

=10/31* 9/30

=90/930

=9/93

The probability is 9/93