Probability Powerplay
Level 6, 2026-04-20
Roll a die 84 times.
How many times would you expect to get a 4?
[1]
There are 35 balls in a bag. This is is the probability distribution of their color:


0.80.2
orangegreen
Color

How many orange balls were in the bag?
[1]
Roll 78 6-sided dice.
How many times would you expect to get less than 4?
[1]
A bag has 3 balls with numbers from 3 to 5. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 5?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than 6?
[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:


0.050.050.20.7
12345
Number

What is the probability of rolling a number that is bigger than 3 or smaller than 4?
[1]
Roll 2 6-sided dice.
You add the two numbers. What is the probability of getting 2?
[1]
A bag has 7 red balls, 4 blue balls and 9 yellow balls. You take out a blue ball, then a blue ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
A group of dogs were timed running 100m. Here are the results:
dogs

Time134
141
154
16
173

What is the probability of the dogs to run 100m in exactly 15s?
[2]
There are 12 balls in a bag. This is is the probability distribution of their color:


0.750.25
purpleyellow
Color

How many yellow balls were in the bag?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.20.40.4
orangegreenpink
Color

How many orange balls were in the bag?
[1]
A group of girls did a math test and here are their scores out of 5:
Scoregirls
01
14
26
36
41
51

What is the probability of the girls to score exactly 3?
[2]
A bag has 6 red balls, 10 blue balls and 7 yellow balls. You take out a yellow ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are even?
[1]
Roll 126 6-sided dice.
How many times would you expect to get less than 5?
[1]
A group of kids were timed running 100m. Here are the results:
kids

564
1314151617
Time

What is the probability of the kids to run 100m in less than 13s?
[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:


0.20.20.20.050.35
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 4?
[1]