Probability Powerplay
Level 6, 2026-11-10
You shoot an arrow at a target. There is a 30% chance of scoring a 20 and a 40% chance of scoring a 40 and a 30% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
A group of dogs were timed running 100m. Here are the results:
Timedogs
135
144
152
166
176

What fraction of the dogs run 100m in less than 17s?
[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:


0.40.150.10.150.2
12345
Number

What is the probability of rolling a number that is bigger than 1 and smaller than 3?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 20 and a 40% chance of scoring a 40. What average score do you expect to get if you do this many times?
[1]
A bag has 5 balls with numbers from 3 to 7. You take out 1 ball.
What is the probability of getting a ball with a number less than 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:


0.10.250.65
12345
Number

What is the probability of rolling a 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:


0.10.10.10.7
12345
Number

What is the probability of rolling a number that is smaller than or equal to 3?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.10.9
yellowred
Color

How many yellow balls were in the bag?
[1]
Roll 30 6-sided dice.
How many times would you expect to get more than 2?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.50.10.4
pinkgreenpurple
Color

How many green balls were in the bag?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.50.5
yellowpink
Color

Probability of Type

0.80.2
wagonsedan
Type

What is the probability of a car being a yellow sedan?
[2]
A bag has 4 red balls, 8 green balls and 7 blue balls. You take out 1 ball.
What is the probability of getting a red ball or a blue ball?
[1]
A bag has 4 red balls, 8 green balls and 4 blue balls. You take out 1 ball.
What is the probability of NOT getting a red ball?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

14666
012345
Score

What fraction of the kids score more than 5?
[2]
A bag has 5 red balls and 5 blue balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
A group of boys were timed running 100m. Here are the results:
Timeboys
132
143
156
165
172

What fraction of the boys run 100m in exactly 16s?
[2]