A bag of 29 tulips contains 14 red 8 yellow and 7 purple Wha

A bag of 29 tulips contains 14 red, 8 yellow, and 7 purple. What is the probability...?

Solution

(1) Probability first bulb is red = 14/29

There are not 13 red bulbs left and 28 total bulbs left
Probability second bulb is red = 13/28

p = 14/29 * 13/28 = 13/58 = 0.224

(2) Probability first bulb is red = 14/29
Probability second bulb is yellow = 8/28

p = 14/29 * 8/28 = 4/29 = 0.138

3) Probability first bulb is yellow = 8/29
Probability second bulb is red = 14/28

p = 8/29 * 14/28 = 4/29 = 0.138

(4) P(1 bulb is red and the other is yellow)=sum of the probabilites obtained in part (2) & (3)

p = 4/29 + 4/29 = 8/29 = 0.276