# Probability and Combinations

2. If you roll a die many times, what would you expect to be the relative frequency of rolling a number less than 6?

A) 2 out of 3 B) 1 out of 3 C) 1 out of 6 D) 1 out of 2 E) 5 out of 6

8. A license plate is to consist of two letters followed by three digits. How many different license plates are possible if the first letter must be a vowel, and repetition of letters is not permitted, but repetition of digits is permitted?

13. At an annual flower show, 6 different entries are to be arranged in a row.

a) How many different arrangements of the entries are possible?

b) If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?

https://brainmass.com/math/probability/probability-and-combinations-116126

#### Solution Preview

2. If you roll a die many times, what would you expect to be the relative frequency of rolling a number less than 6?

A) 2 out of 3 B) 1 out of 3 C) 1 out of 6 D) 1 out of 2 E) 5 out of 6

Answer: E) 5 out of 6

8. A license plate is to consist of two letters followed by three digits. How ...

#### Solution Summary

Probability and combinations are investigated.