A bucket contains 50 lottery balls numbered 1-50. One is drawn at random. What is the probability that it is a multiple of 6 given that it is a 2-digit number?
Accepted Solution
A:
The probability is 7/41.
We are looking for P(multiple of 6 given 2 digit) = P(2 digit & multiple of 6)/P(2 digit)
There are 7 2-digit numbers that are multiples of 6 between 1 and 50, out of 50 numbers; P(2 digit & multiple of 6) = 7/50
There are 41 2-digit numbers out of 50; P(2 digit) = 41/50