Simple Probability and Odds
Addition Rule
Multiplication Rule
Counting Rules
100

There are 12 boys and 15 girls in a class. If you pick one student at random, what is the probability of picking a boy?

What is 12/27?

100

If a student is selected at random, what is the probability that their birthday is in June, July, or August?

What is 3/12?

100

Suppose you toss a coin and then roll a dice. What is the probability of obtaining a tail and then rolling a 5?

What is 1/12?

100

How many different car license plates can be made if each is to display 3 letters followed by 3 numbers?

What is 17,576,000

200

In a raffle to win a new iPhone, you and your friend purchase 5 tickets each.  100 total tickets are sold.  What is the probability that neither of you win the phone?

What is 90/100?

200

What is the probability of rolling a number less than 3 or a number greater than 3 on a single roll of a 6-sided die?

What is 5/6?

200

If there are 5 marbles in a bag and 3 of them are red, what is the probability that you pick out 3 red marbles in a row if you replace each marble before the next pick?

What is 27/125?

200

A child wants to draw a picture using only three different colors from a set of twelve crayons. In how many ways can the colors be chosen?

What is 220?

300

What are the odds against rolling a 6 on a single roll of a die?

What is 5:1?

300

50 boys and 50 girls were surveyed. Of the 50 girls, 41 were right-handed. Of the 50 boys, 38 were right hanaded. If you randomly select one of these people, what is the probability of selecting a girl or a left-handed person?


What is 62/100?

300

A committee consists of four women and three men. If you randomly select two people from the committee, find the probability that both are women.

What is 12/42?

300

Ten teachers participated in a Chili Cook-off to see who could make the best chili.  How many different ways could 1st and 2nd place be awarded?

What is 90?

400

A box contains 9 red, 2 blue and 3 yellow marbles. If you select one at random, determine the odds in favor of selecting a blue or yellow marble.

What is 5:9?

400

In a statistics class there are 18 juniors and 10 seniors; 6 of the seniors are females and 12 of the juniors are males. If a student is selected at random, find P(a junior or a female)

What is 24/28?

400

There are 12 used batteries in Dr. P's cabinet. Three of them are bad. If you select 4 batteries for your calculator, what is the probability that they are all good?

What is 3024/11880?

400

In how many unique ways can we rearrange the letters in “SCHOOL IS COOL”?

What is 2,494,800?

500

The odds against it raining this Saturday are 5:2.  What is the probability that it will rain on Saturday?

What is 2/7?

500

At a particular school with 200 male students, 58 play football, 40 play basketball and 8 play both. Find the probability that a randomly selected male student plays neither sport.

What is 110/200?

500

A committee consists of four women and three men. If you randomly select two people find the probability that at least 1 is a woman.

What is 36/42?

500

How many ways can you choose 3 odd numbers and 3 even numbers from the numbers 1 to 15?

What is 1,960?