There are four white, five red, and six blue balls in each bag. Three balls are randomly selected from the bag. The likelihood that they're all red is:
A. 1/22
B. 3/22
C. 2/91
D. 2/27
Answer:C
There are four white, five red, and six blue balls in each bag. Three balls are randomly selected from the bag. The likelihood that they're all red is:
A. 1/22 B. 3/22 C. 2/91 D. 2/27
Explanation: Assume that S is the sample space.Then, n(S) = number of ways to pull three balls out of 15 = 15C3 = (15 x 14 x 13)/ (3 x 2 x 1)= 455, where E denotes the event of obtaining all three red balls.5C3 = 5C2 = (5 x 4)/(2 x 1) = 10. n(E) = 5C3 = 5C2 = (5 x 4)/(2 x 1) = 10.P(E) = n(E)/n(S) = 10/455 = 2/91 .