Probability Powerplay
Level 6, 2026-06-05
A group of boys were timed running 100m. Here are the results:
boys

Time135
145
152
164
175

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


0.10.9
blueyellowred
Color

If you choose a random ball from the bag, what is the probability of it being blue?
[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:


0.250.050.250.45
12345
Number

What is the probability of rolling a number from 3 to 5?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 5 or a 1 and a head or a tail?
[1]
Roll 78 6-sided dice.
How many times would you expect to get more than 1?
[1]
Flip a coin 16 times.
Each time a Tail comes up you win $3. How much money would you expect to make altogether?
[1]
Flip a coin 16 times.
Each time a Head comes up you win $2. It costs $25 to play (paid once). How much money would you expect to make altogether?
[1]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are less than 5?
[1]
A bag has 10 red balls and 8 blue balls. You take out 1 red ball, then another ball.
What is the probability of getting blue for the second ball?
[1]
We asked a group of kids how many Burgers they eat in a month. Here are the results:
kids

242
0123
Burgers

What fraction of the kids eat more than 3 Burgers in a month?
[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:


0.10.250.20.45
12345
Number

What is the probability of rolling a number that is bigger than 3?
[1]
Roll 42 6-sided dice.
How many times would you expect to get anything except 5?
[1]
A group of people were timed running 100m. Here are the results:
Timepeople
135
145
153
165
176

What fraction of the people run 100m in exactly 16s?
[2]
Roll 1 6-sided die.
What is the probability of getting an even number?
[1]
A wheel has 6 sections, each with a different reward.
What is the probability of getting a Gummy Bear?
[1]
Roll 108 6-sided dice.
How many times would you expect to get anything except 2?
[1]
You roll a 8 sided die and a 6 sided die.
What is the probability of getting 5 on both dice?
[1]