Probability Powerplay
Level 6, 2026-07-22
There are 20 balls in a bag. This is is the probability distribution of their color:


0.60.30.1
redpinkpurple
Color

How many pink balls were in the bag?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.50.5
greenorangepink
Color

How many green balls were in the bag?
[1]
A bag has 2 balls with numbers from 3 to 4. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 4?
[1]
A group of people were timed running 100m. Here are the results:
Timepeople
132
144
150
161
170

What is the probability of the people to 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:


0.150.250.10.5
12345
Number

What is the probability of rolling a number that is smaller than or equal to 1?
[1]
A group of kids were timed running 100m. Here are the results:
kids

334
1314151617
Time

What fraction of the kids run 100m in exactly 15s?
[2]
Roll 1 6-sided die.
What is the probability of NOT getting a 3?
[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:


0.60.250.15
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.50.5
orangeyellow
Color

Probability of Type

0.70.3
wagonsedan
Type

What is the probability of a car being a yellow wagon?
[2]
We asked a group of dogs how many Icecreams they eat in a month. Here are the results:
Icecreamsdogs
04
12
26
34

What fraction of the dogs eat exactly 1 Icecreams in a month?
[2]
Roll a die 66 times.
How many times would you expect to get a 5?
[1]
You roll a 4 sided die and a 8 sided die.
What is the probability of getting 3 on both dice?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
yellowgreen
Color

Probability of Type

0.10.9
wagonsedan
Type

What is the probability of a car being a green sedan?
[2]
You shoot an arrow at a target. There is a 20% chance of scoring a 20 and a 20% chance of scoring a 40 and a 60% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
Flip a coin 16 times.
Each time a head comes up you win $3 and with each tail you lose $3. How much money would you expect to make altogether?
[1]