1. A coin is tossed and an eight-sided die numbered 1 through 8 is rolled. Find the probability of tossing a head and then rolling a number greater than 1.

The probability of tossing a head and then rolling a number greater than 1 is ___.

(Round to three decimal places as needed.)

5. A physics class has 40 students. Of these, 13 students are physics majors and 16 students are minoring in math. Of the physics majors, two are minoring in math. Find the probability that a randomly selected students is minoring in math or a physics major.

The probability that a randomly selected student is minoring in math or a physics major is _______.

(Round to three decimal places as needed.)

9. There are 12 finalists in a singing competition. The top four singers receive prizes. How many ways can the singers finish first through fourth?

There are ___ different ways that the singers can finish first through fourth.

(Write a whole number.)

10. A class has 31 students. In how many different ways can four students form a group for an activity? (Assume the order of the students is not important.)

There are ___ different ways that the four students can form a group for an activity.

(Write a whole number.)