Probability Powerplay
Level 6, 2026-08-04
A group of girls were timed running 100m. Here are the results:
girls

Time134
14
154
162
175

What fraction of the girls run 100m in more than 14s?
[2]
Roll 126 6-sided dice.
How many times would you expect to get less than or equal to 1?
[1]
Flip a coin 6 times.
Each time a head comes up you win $1 and with each tail you lose $3. 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:


0.20.050.150.6
12345
Number

What is the probability of rolling 3 or 4?
[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:


0.050.95
12345
Number

What is the probability of rolling a number that is bigger than 1?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.30.30.4
bluepurplepink
Color

How many pink balls were in the bag?
[1]
A bag has 5 red balls, 5 blue balls and 2 yellow balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
A group of people did a math test and here are their scores out of 5:
people

6134
012345
Score

What fraction of the people score less than 1?
[2]
Roll 36 6-sided dice.
How many times would you expect to get a number more than 7?
[1]
The weather forecast says that the chances of rain are 50%. Your chance of being outside today is 80%. You flip a coin to decide whether to take your umbrella.
What is the probability of getting wet today?
[1]
We asked a group of dogs how many Bananas they eat in a day. Here are the results:
dogs

562
0123
Bananas

What is the probability of the dogs to eat exactly 2 Bananas in a day?
[2]
The weather forecast says that the chances of rain are 90%. The chance of remembering your umbrella is 70%. Your chance of being outside today are 40%.
What is the probability of getting wet today?
[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:


0.10.20.10.050.55
12345
Number

What is the probability of rolling a number that is bigger than 1 and smaller than 5?
[1]
A bag has 5 red balls and 5 blue balls. You take out 1 ball.
What is the probability of getting a blue ball?
[1]
There are 32 balls in a bag. This is is the probability distribution of their color:


0.750.25
bluered
Color

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

Time136
142
155
162
175

What is the probability of the boys to run 100m in exactly 15s?
[2]