Probability Powerplay
Level 6, 2026-04-10
You shoot an arrow at a target. There is a 40% chance of scoring a 10, 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]
You shoot an arrow at a target. There is a 60% chance of scoring a 20, a 20% chance of scoring a 40, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

32426
012345
Score

What fraction of the kids score less than 5?
[2]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.30.50.2
orangepurplepink
Color

If you choose a random ball from the bag, what is the probability of it not being orange or pink?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.10.9
orangepink
Color

Probability of Type

0.90.1
wagonsedan
Type

What is the probability of a car being a orange wagon?
[2]
Roll 66 6-sided dice.
How many times would you expect to get more than or equal to 5?
[1]
Roll 1 6-sided die.
What is the probability of getting a 5?
[1]
We asked a group of kids how many Strawberries they eat in a month. Here are the results:
Strawberrieskids
06
11
24
34

What is the probability of the kids to eat exactly 2 Strawberries in a month?
[2]
You shoot an arrow at a target. You will either score 20 (10% chance), 30 (20% chance), or 60. What average score do you expect to get if you do this many times?
[1]
There are 55 balls in a bag. This is is the probability distribution of their color:


0.20.8
yellowpink
Color

How many yellow balls were in the bag?
[1]
We asked a group of humans how many Pizzas they eat in a day. Here are the results:
Pizzashumans
06
12
22
34

What is the probability of the humans to eat exactly 3 Pizzas in a day?
[2]
A group of humans were timed running 100m. Here are the results:
Timehumans
130
146
150
164
173

What is the probability of the humans to run 100m in exactly 13s?
[2]
A group of humans were timed running 100m. Here are the results:
Timehumans
134
140
150
163
170

What fraction of the humans run 100m in exactly 16s?
[2]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.20.8
bluered
Color

How many red balls were in the bag?
[1]