One vase of flowers contains eight purple tulips and six yellow tulips. A second vase of flowers contains five purple tulips and nine yellow tulips. An example of dependent events is selecting a purple tulip from the second vase and then selecting a __________.
A. yellow tulip from the first vase
B. purple tulip from the first vase
C. yellow tulip from the second vase, after replacing the first tulip
D. purple tulip from the second vase, without replacing the first tulip
D is correct
The probability of selecting a purple tulip form the second vase on the second draw depends upon what happened in the first draw
Example :
P(Yellow on first Draw and Purple on the Second Draw) = 9/14 * 5/13 = 45 / 182
But
P (Purple on first Draw and Purple on the Second Draw) = 5/14 * 4/13 = 20 / 182
Thus....we have a greater chance of drawing Yellow-Purple on the first two draws than of drawing Purple-Purple on the frist two draws