Exclusive Compound Events

The number of ways 10 students could line up for a bus.

The number of ways a student council consisting of 5 students could be chosen out of a class of 100.

The number of ways the president, vice president, and treasurer could be chosen out of a class of 100.

You roll a 6 sided die twice. What is the probability of getting a 2 and a 3 in either order? (for fractions write it in the following form ex: 1/10 for one-tenth)

(a)  

A bag of marbles consists of 10 swirly marbles, 5 striped marbles, and 2 solid color marbles. You select a marble and then put it back. Then choose another marble. How many possible outcomes are there?

(a)  

A bag of marbles consists of 10 swirly marbles, 5 striped marbles, and 2 solid color marbles. You select a marble and then put it back. Then choose another marble. What is the probability you get a swirly marble both times?

(a)  

A bag of marbles consists of 10 swirly marbles, 5 striped marbles, and 2 solid color marbles. You select a marble and then put it back. Then choose another marble. What is the probability you get a swirly marble or a striped marble the first time and a solid marble the second time?

(a)  

A carnival game has 100 rubber ducks with the numbers 1-100 on them. If they choose a number divisible by 25 they win. What is the probability of winning this game?

(a)  

You spin the spinner two times. What is the probability that you spin a green or red the first time and blue the second?

(a)  

If you have a 80% chance of making a free throw in basketball, what is the probability that you score 0 points for your team when you get fouled? (In basketball you get two attempts to score from the foul line when you are fouled, and each basket from the foul line counts as one point.)

Answer with a fraction

(a)