Experimental Probability
Mixed Probability
Probability with Visuals
Permutations
Miscellaneous
100

I flip a coin 10 times. I get heads 6 times and tails 4 times. Based off of this data, what is the experimental probability of both outcomes? That is, what is P(heads) and what is P(tails)?

P(heads) = 6/10 = 3/5

P(tails) = 4/10 = 2/5

100

What is the probability of getting an even number when rolling a fair six-sided die?

1/2 = 0.5 = 50%

100

Find P(red), and write your answer as a fraction, decimal, AND percent.

1/8 = 0.125 = 12.5%

100

In how many ways can I arrange 3 books on a shelf?

6 ways.

100

Will you have calculators on this test?

Yes.

200

An experiment in which a six-sided die was done. Five 1s were rolled, as well as four 2s, four 3s, seven 4s, two 5s, and three 6s. Based on these results, what is the probability that the next roll will be a 1?

1/5 = 0.20 = 20%

200

What is the probability of getting a 3 then a 6 when rolling two dice?

1/36

200

You spin this spinner. Find P(greater than 3), and write your answer as a fraction, decimal, AND percent.

7/10 = 0.7 = 70%

200

I'm looking for a new house and am touring 4 homes today. How many different orders can I do my tours in?

24 orders.

200

At a burrito bar, you have 2 choices of rice, 4 choices of protein, and 6 choices of additional toppings. If you are only allowed to pick 1 of each, what is the total number of combinations for your meal?

48

300

An experiment is done where someone spins a spinner with 4 equal sections. The results are shown in the table below. Based on the data, what is the experimental probability that the arrow will land on red?

4/21

300

Your mother puts 24 candies in a candy dish. There are 12 chocolates, 8 starburst, and 4 lollipops. You take one without looking, then take another one without replacing the first one you took. What is the probability that the first is a starburst and the second is a chocolate?

8/46 = 4/23

300

A game has a wheel with colors on it as shown below. What is the probability of landing on each color?

Blue: 4/10 = 2/5

Red: 2/10 = 1/5

Yellow: 3/10

Green: 1/10

300

If there are 5 people running a race, how many ways can people come in first, second, and third?

There are 60 ways.

300

Haytam has 15 funko pops that he really loves, but has decided that he will only display 5 on his shelf. How many different arrangements could he choose?

360,360

400

An experiment is done by randomly selecting marbles from a jar. The results from the experiment are shown in the table below. Based on the experiment, what is the probability of the next marble being blue or red?

19/25

400

When flipping a coin and rolling a die, what is the probability of getting heads THEN a multiple of 2?

1/4

400

Find P(3 then 5), and write your answer as a fraction.

1/49

400

A student organization with 9 people is going to randomly assign 3 members to the roles of Social Media Director, Secretary, and President. How many different ways can the jobs be assigned?

504

400

Your favorite player makes 50% of their shots in basketball. You flip two coins to conduct a simulation with 20 trials to determine the likelihood that they will make their next two shots. Heads up (H) represents a shot made. Tails (T) represents a miss. Based on the results, what is the probability that they will make both shots? Give your answer as a fraction, decimal, and percent.

TH      HH     TT     HT     TH     HH     HH     TT   HT   HH      HT     TH     TT     HH      HT      HH     HH     TT    TH      TT

7/20 = 0.35 = 35%

500

Amanda used a standard deck of 52 cards and selected a card at random. She recorded the suit of the card (hearts, diamonds, spades, or clubs) and replaced the card. She repeated this a number of times, and the results show in the table below. Based on her results, what is the probability of selecting a diamond or a spade? In theory, what is the probability of selecting a diamond or a spade?

Experimental: 18/30 = 3/5

Theoretical: 26/52 = 1/2

500

When flipping a coin twice, then rolling a die, what is the probability of getting heads, then tails, then a 3 OR 4?

1/12

500

Find P(even number OR 7, THEN odd number OR 6), and give your answer as a simplified fraction, decimal, and percent:

9/25 = 0.36 = 36%

500

Anime-Con is in town Friday through Monday and Colin is having a hard time deciding who to dress up as. He has 12 cosplay outfits but will only be able to wear 1 each day. How many different outfit lineups could he plan for Anime-Con?

11,880

500

If I have letter tiles O N M R T A E L, what is the probability that if I pull them out of a bag at random one-by-one, I will do it in the order M O N T R E A L? 

1/40320