Probability Powerplay
Level 6, 2026-08-27
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:


0.650.150.2
12345
Number

What is the probability of rolling a number that is smaller than 2?
[1]
Roll 90 6-sided dice.
How many times would you expect to get less than 5?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.40.6
purpleblue
Color

Probability of Type

0.40.6
wagonsedan
Type

What is the probability of a car being a purple sedan?
[2]
A group of kids did a math test and here are their scores out of 5:
Scorekids
04
16
23
33
40
55

What fraction of the kids score more than 5?
[2]
Flip 3 coins.
What is the probability of getting 3 tails?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than 4?
[1]
Roll 12 6-sided dice.
How many times would you expect to get an odd number?
[1]
A group of dogs were timed running 100m. Here are the results:
dogs

255
1314151617
Time

What is the probability of the dogs to run 100m in exactly 15s?
[2]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.10.10.8
orangepinkgreen
Color

How many green balls were in the bag?
[1]
A group of people were timed running 100m. Here are the results:
people

Time131
143
156
166
17

What fraction of the people run 100m in less than 13s?
[2]
Flip a coin 12 times.
Each time a head comes up you win $2 and with each tail you lose $1. How much money would you expect to make altogether?
[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:


0.750.20.05
12345
Number

What is the probability of rolling a number from 1 to 2?
[1]
A bag has 10 red balls, 8 blue balls and 7 yellow balls. You take out a red ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
A bag has 4 balls with numbers from 1 to 4. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 4?
[1]
A bag has 8 red balls and 5 blue balls. You take out a red ball, then a red ball, then another ball.
What is the probability of getting blue for the last ball?
[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:


0.10.20.20.5
12345
Number

What is the probability of rolling a number that is smaller than or equal to 3?
[1]