Question

We are going to compose a three-digit number by selecting
the following: 1 2 3 4 5 6
◦ If repetitions are not allowed, what is the probability of forming an even number?
◦ If repeats are allowed, what is the probability of forming an odd number?

Answer 1

1) If repetitions are not allowed, what is the probability of forming an even number?

Total number of ways in which number can be formed = 6*5*4 = 120

Total number of ways in which even number can be formed (last digit should be 2,4,6) = 3*5*4 = 60

P = 0.5

2)

If repeats are allowed, what is the probability of forming an odd number?

Total number of ways in which number can be formed = 6*6*6 = 216

Total number of ways in which odd number can be formed (last digit should be 1,3,5) = = 3*6*6

P = 0.5