Answer: The probability of selecting a red, then a green without replacement is 0.0256 or approximately 2.56%.
Explanation:
The probability of selecting a red jolly rancher on the first draw without replacement is:
P(Red on 1st draw) = (number of red jolly ranchers) / (total number of jolly ranchers)
P(Red on 1st draw) = 8 / (8+10+6+5+11)
P(Red on 1st draw) = 8 / 40
P(Red on 1st draw) = 0.2
After taking out one red jolly rancher, there are now 39 jolly ranchers left in the bag. The probability of selecting a green jolly rancher on the second draw without replacement is:
P(Green on 2nd draw) = (number of green jolly ranchers left)/(total number of jolly ranchers left)
P(Green on 2nd draw) = 5/(39)
P(Green on 2nd draw) = 5 / 39
The probability of selecting a red, then a green without replacement is the product of the two probabilities:
P(Red, then Green) = P(Red on 1st draw) x P(Green on 2nd draw)
P(Red, then Green) = 0.2 x 5/39
P(Red, then Green) = 0.0256
The probability of selecting a red, then a green without replacement is 0.0256 or approximately 2.56%.