Probability Powerplay
Level 6, 2026-09-01
There are 40 balls in a bag. This is is the probability distribution of their color:


0.70.3
purplebluegreen
Color

How many blue balls were in the bag?
[1]
You shoot an arrow at a target. There is a 20% chance of scoring a 10 and a 20% chance of scoring a 30 and a 60% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
We asked a group of boys how many Hot dogs they eat in a month. Here are the results:
Hot dogsboys
06
14
21
32

What is the probability of the boys to eat less than 4 Hot dogs in a month?
[2]
A group of kids were timed running 100m. Here are the results:
kids

1454
1314151617
Time

What is the probability of the kids to run 100m in less than 15s?
[2]
A group of girls were timed running 100m. Here are the results:
girls

Time135
141
156
164
171

What fraction of the girls run 100m in exactly 17s?
[2]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.60.30.1
blueyellowpink
Color

How many blue balls were in the bag?
[1]
Roll 2 6-sided dice.
What is the probability of getting a 4 on both dice?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.10.9
yellowpurple
Color

How many yellow 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:


0.050.20.10.65
12345
Number

What is the probability of rolling 2 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:


0.20.050.10.65
12345
Number

What is the probability of rolling a number that is smaller than 4?
[1]
You shoot an arrow at a target. There is a 30% chance of scoring a 10 and a 40% chance of scoring a 30 and a 30% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.60.4
pinkorange
Color

Probability of Type

0.50.5
wagonsedan
Type

What is the probability of a car being a pink sedan?
[2]
You flip a coin and roll a 4 sided die.
What is the probability of getting a 4 and a tail?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.10.9
orangeyellow
Color

Probability of Type

0.80.2
wagonsedan
Type

What is the probability of a car being a orange sedan?
[2]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number less than 1 and a tail?
[1]