Counting Basics
Probability of Equally likely outcomes
Use the complement rule to compute probabilities
100

15!/13!2!

105

100

If two dice are rolled what is the probability that the sum go the numbers showing is 7 or 11?

2/9

100

A bag of cookies contains the numbers 1-60. What is the probability random picked that the cookies will be the number that is not between the number 15 and 23?

15%

200

16!/14!2!

120

200

A bag of skittles has 4 green skittles, 6 red skittles, and 2 orange skittles in the bag. If you randomly picked 2 skittles. What is the probability that you will get two of the same colored skittles?

0.33

200

Lottery balls numbered from 1-100 are placed in the spinner. If one ball is drawn at random what is the probability that it will have the number 1 on it once?

19/100

300

A car racer has 9 participants. In how many orders could the runners possibly finish?

362,880

300

What is the chances of rolling 3 with a green dice and a 5 with the blue dice?

1/36

300

Lottery machine contains 20 balls. If 6 balls was drawn from the machine what is the probability that 3 will be even and the other 3 will be odd?

37.2%

400

If you have 8 chores that doesn't matter the order, how many different ways can you do your chores? 

40,320

400

What us the probability when rolling a fair dice 7 times to see every number 1-6 at least one time?

0.054

400

You have a lottery ball that are numbered 1 -15. If you draw two numbers what is the probability that you will draw two even numbers? 

28/105

500

Using the alphabets how many times can A B C D E F G be arranged?

3,628,880

500

What is the probability of getting the number two when rolling a dice?

1/6

500

In school you the teacher plans to display classroom art. Each classroom window will only have one piece of art. You have the total of 37 windows. If you have 22 butterflies on paper and 22 bumble bees paper. What is the probability that 20 butterflies on paper and 17 of bumble bee paper will be displayed?

(22/20) x (22/17) / 49/37