Probability

Question

The lock on your locker at school is a combination lock with 50 numbers on the dial. Three numbers are needed to unlock the lock, and numbers can be repeated. How many different numbers patterns are possible? What is the probability that you will unlock the locker on your first try?

Answer 1

first number-choose from 50 numbers

second number-choose from 50 numbers

third number-choose from 50 numbers

50*50*50=125,000 number patterns (permutations)

P(First Try)=1/125,000