Probability Powerplay
Level 6, 2026-09-10
Roll 72 6-sided dice.
How many times would you expect to get less than 6?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

Score05
1
2
33
42
56

What is the probability of the boys to score less than 3?
[2]
A wheel has 13 sections, each has a reward in dollars, from $1 through to $13.
What prize do we expect to get if we spin the wheel?
[1]
A Crazy Die has 5 sides, but each side has a different probability of being rolled. This is is the probability distribution of the sides being rolled:


0.50.20.050.25
12345
Number

What is the probability of rolling a 1?
[1]
There are 18 balls in a bag. This is is the probability distribution of their color:


0.50.5
pinkyellow
Color

How many pink balls were in the bag?
[1]
You shoot an arrow at a target. There is a 70% chance of scoring a 20 and a 30% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
A group of people did a math test and here are their scores out of 5:
people

Score06
13
24
34
43
5

What is the probability of the people to score more than 3?
[2]
A Crazy Die has 5 sides, but each side has a different probability of being rolled. This is is the probability distribution of the sides being rolled:


0.250.250.150.35
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 4?
[1]
We asked a group of people how many Hot dogs they eat in a day. Here are the results:
people

4324
0123
Hot dogs

What is the probability of the people to eat exactly 4 Hot dogs in a day?
[2]
A group of dogs were timed running 100m. Here are the results:
dogs

Time136
143
152
165
17

What is the probability of the dogs to run 100m in less than 16s?
[2]
A wheel has 14 sections, each with a different reward.
What is the probability of getting a Mike & Ike?
[1]
We asked a group of people how many Burgers they eat in a month. Here are the results:
people

4112
0123
Burgers

What fraction of the people eat more than 1 Burgers in a month?
[2]
Flip a coin 6 times.
Each time a head comes up you win $4 and with each tail you lose $3. It costs $3 to play (paid once). How much money would you expect to make altogether?
[1]
Roll 24 6-sided dice.
How many times would you expect to get anything except 2?
[1]
Flip a coin 4 times.
Each time a Head comes up you win $2. It costs $7 to play (paid once). How much money would you expect to make altogether?
[1]