Probability Powerplay
Level 6, 2026-06-11
Roll 18 6-sided dice.
How many times would you expect to get less than 3?
[1]
A group of girls were timed running 100m. Here are the results:
girls

Time136
141
153
161
175

What fraction of the girls run 100m in more than 13s?
[2]
A bag has 2 red balls and 9 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]
We asked a group of dogs how many Icecreams they eat in a day. Here are the results:
dogs

641
0123
Icecreams

What fraction of the dogs eat exactly 4 Icecreams in a day?
[2]
Flip a coin 16 times.
Each time a Tail comes up you win $3. It costs $26 to play (paid once). How much money would you expect to make altogether?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than or equal to 2?
[1]
Flip a coin 8 times.
Each time a Tail comes up you win $4. It costs $11 to play (paid once). How much money would you expect to make altogether?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.60.4
orangebluered
Color

If you choose a random ball from the bag, what is the probability of it not being orange?
[1]
We asked a group of humans how many Peaches they eat in a day. Here are the results:
humans

3224
0123
Peaches

What is the probability of the humans to eat exactly 0 Peaches in a day?
[2]
A group of humans were timed running 100m. Here are the results:
humans

Time136
14
154
165
174

What fraction of the humans run 100m in more than 16s?
[2]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.10.9
redorange
Color

How many red balls were in the bag?
[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:


0.80.050.15
12345
Number

What is the probability of rolling a number that is bigger than 5 and smaller than 3?
[1]
A bag has 9 balls with number 1 and 9 balls with a number 6. What will be the average of the numbers of the balls taken out of the bag
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 90% chance of clearing a Fence and a 50% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
You flip a coin and roll a 9 sided die.
What is the probability of getting a 2 and a head?
[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:


0.150.050.250.10.45
12345
Number

What is the probability of rolling a number from 3 to 5?
[1]