Answer:
A) The probability of picking a yellow ball from the bag is 26.66%.
B) The probability of picking a blue ball from the bag is 40%.
C) The probability of picking a yellow ball and then a blue ball is 11.42%.
Explanation:
Since a bag contains 4 yellow balls, 5 red balls, and 6 blue balls, to determine what is the probability of picking a yellow ball from the bag, what is the probability of picking a blue ball from the bag and what is the probability of picking a yellow ball and then a blue ball after replacement, the following calculations must be performed:
A)
4 + 5 + 6 = 100
4 = X
15 = 100
4 = X
4 x 100/15 = X
400/15 = X
26.66 = X
Therefore, the probability of picking a yellow ball from the bag is 26.66%.
B)
15 = 100
6 = X
6 x 100/15 = X
600/15 = X
40 = X
Therefore, the probability of picking a blue ball from the bag is 40%.
C)
14 = 100
6 = X
6 x 100/14 = X
600/14 = X
42.85 = X
0.2666 x 0.4285 = X
0.1142 = X
Therefore, the probability of picking a yellow ball and then a blue ball is 11.42%.