Probability Powerplay
Level 6, 2026-06-15
A group of boys were timed running 100m. Here are the results:
Timeboys
131
141
151
162
171

What fraction of the boys run 100m in exactly 15s?
[2]
A bag has 6 balls with number 4 and 9 balls with a number 5. What will be the average of the numbers of the balls taken out of the bag
[1]
We asked a group of kids how many Peaches they eat in a month. Here are the results:
Peacheskids
01
11
22
36

What is the probability of the kids to eat more than 0 Peaches in a month?
[2]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.40.40.2
bluepurpleorange
Color

If you choose a random ball from the bag, what is the probability of it not being blue or orange?
[1]
Roll 54 6-sided dice.
How many times would you expect to get less than or equal to 3?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 100% 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 6 sided die.
What is the probability of getting a 5 and a head?
[1]
Roll 6 6-sided dice.
How many times would you expect to get less than 2?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.30.40.3
bluegreenpink
Color

How many pink 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:


0.20.20.150.45
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than 5?
[1]
A bag has 4 balls with numbers from 5 to 8. You take out 1 ball.
What is the probability of getting the ball with the number 4?
[1]
A group of kids were timed running 100m. Here are the results:
kids

6154
1314151617
Time

What fraction of the kids run 100m in less than 17s?
[2]
There are 22 balls in a bag. This is is the probability distribution of their color:


0.50.5
orangeyellow
Color

How many yellow balls were in the bag?
[1]
You shoot an arrow at a target. There is a 40% chance of scoring a 20, a 30% chance of scoring a 60, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
Roll 78 6-sided dice.
How many times would you expect to get less than or equal to 4?
[1]
Roll 1 6-sided die.
What is the probability of NOT getting a 5?
[1]