Probability Powerplay
Level 6, 2026-05-15
A bag has 8 red balls, 2 green balls and 4 blue balls. You take out 1 ball.
What is the probability of NOT getting a red ball?
[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:


0.50.250.050.2
12345
Number

What is the probability of rolling a number that is bigger than 2 or smaller than 3?
[1]
There are 15 balls in a bag. This is is the probability distribution of their color:


0.80.2
yelloworange
Color

How many yellow balls were in the bag?
[1]
A group of dogs did a math test and here are their scores out of 5:
Scoredogs
03
11
24
36
43
53

What fraction of the dogs score exactly 2?
[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:


0.60.250.15
12345
Number

What is the probability of rolling a number that is smaller than or equal to 4?
[1]
A bag has 6 balls with number 6 and 2 balls with a number 7. You take out 1 ball.
What is the probability of getting the ball with the number 7?
[1]
A wheel has 6 pink sections and 6 yellow sections.
What is the probability of getting pink?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.10.9
orangegreen
Color

Probability of Type

0.90.1
sedanwagon
Type

What is the probability of a car being a green sedan?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

1
purpleblue
Color

Probability of Type

0.30.7
sedanwagon
Type

What is the probability of a car being a blue sedan?
[2]
A group of people did a math test and here are their scores out of 5:
people

Score0
11
22
36
44
56

What is the probability of the people to score exactly 2?
[2]
A group of people did a math test and here are their scores out of 5:
people

436531
012345
Score

What fraction of the people score exactly 3?
[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:


0.450.250.050.150.1
12345
Number

What is the probability of rolling a number that is smaller than 1?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.20.8
pinkpurple
Color

How many pink balls were in the bag?
[1]
A wheel has 13 sections, each a number on it from 1 to 13. If you spin an even number you win that amount of dollars, if you spin an odd number you lose.
What prize do we expect to get if we spin the wheel?
[1]
Roll 84 6-sided dice.
How many times would you expect to get less than 4?
[1]