MaryAnn designed a multi-stage experiment using Skittles with the following cond
ID: 3374495 • Letter: M
Question
MaryAnn designed a multi-stage experiment using Skittles with the following conditions: There are: 2 orange, 5 purple, 8 red and 3 green Skittles in a bowl. If an experiment consists of randomly selecting 2 jelly beans, and… If they are INDEPENDENT events:
a. What is the probability that both Skittles will be purple?
b. What is the probability of choosing 1 red and 1 orange Skittle? If they are DEPENDENT events:
c. What is the probability that both Skittles will be purple?
d. What is the probability of choosing 1 red and 1 orange Skittle?
Explanation / Answer
Total number of Skittles = 2 + 5 + 8 + 3
= 18
a) If they are independent events, P(both Skittles will be purple) = 5/18 x 5/18
= 0.0772
b) If they are independent events, P(choosing 1 red and 1 orange Skittle) = 2 x 8/18 x 2/18
= 0.0988
c) If they are dependent events, P(both Skittles will be purple) = 5/18 x 4/17
= 0.0654
d) If they are independent events, P(choosing 1 red and 1 orange Skittle) = 2 x 8/18 x 2/17
= 0.1046