Probability Powerplay
Level 6, 2026-04-23
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
greenblue
Color

Probability of Type

0.20.8
sedanwagon
Type

What is the probability of a car being a green wagon?
[2]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 2 or a 3 and a head?
[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:


0.750.25
12345
Number

What is the probability of rolling 4 or 5?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than 2?
[1]
A group of dogs were timed running 100m. Here are the results:
dogs

1315
1314151617
Time

What is the probability of the dogs to run 100m in less than 16s?
[2]
Flip a coin 2 times.
Each time a head comes up you win $4 and with each tail you lose $2. How much money would you expect to make altogether?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than 6?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.90.1
redyellow
Color

How many red balls were in the bag?
[1]
We asked a group of people how many Sandwiches they eat in a week. Here are the results:
people

2245
0123
Sandwiches

What is the probability of the people to eat exactly 1 Sandwiches in a week?
[2]
A wheel has 6 sections, 2 of each color.
What is the probability of getting blue?
[1]
A group of girls were timed running 100m. Here are the results:
girls

34366
1314151617
Time

What fraction of the girls run 100m in more than 13s?
[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:


0.050.150.050.75
12345
Number

What is the probability of rolling a number that is bigger than 3 or smaller than 5?
[1]
A wheel has 9 sections, each a number on it from 1 to 9. If you spin an odd number you win that amount of dollars, if you spin an even number you lose.
What prize do we expect to get if we spin the wheel?
[1]
A bag has 5 red balls and 8 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 kids were timed running 100m. Here are the results:
kids

Time131
145
15
163
174

What fraction of the kids run 100m in more than 15s?
[2]