Probability Powerplay
Level 6, 2026-09-25
Flip a coin 14 times.
Each time a Tail comes up you win $3. It costs $21 to play (paid once). How much money would you expect to make altogether?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.10.40.5
yellowredorange
Color

How many yellow balls were in the bag?
[1]
A group of girls were timed running 100m. Here are the results:
girls

Time13
145
156
16
174

What is the probability of the girls to run 100m in exactly 17s?
[2]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 6 and a tail?
[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:


0.20.20.10.5
12345
Number

What is the probability of rolling a number that is smaller than 1?
[1]
We asked a group of girls how many Burgers they eat in a week. Here are the results:
girls

432
0123
Burgers

What is the probability of the girls to eat less than 0 Burgers in a week?
[2]
Roll 12 6-sided dice.
How many times would you expect to get more than or equal to 5?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.60.4
yellowredgreen
Color

How many green balls were in the bag?
[1]
A bag has 8 red balls, 9 blue balls and 2 yellow balls. You take out a yellow ball, then a blue ball, then another ball.
What is the probability of getting yellow for the last 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:


0.10.050.050.10.7
12345
Number

What is the probability of rolling a number that is bigger than 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:


0.050.95
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 3?
[1]
A group of people did a math test and here are their scores out of 5:
people

564
012345
Score

What is the probability of the people to score exactly 0?
[2]
A bag has 7 red balls and 4 blue balls. You take out 1 ball.
What is the probability of getting a red ball?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.10.40.5
bluepurplepink
Color

If you choose a random ball from the bag, what is the probability of it not being purple?
[1]
Roll 150 6-sided dice.
How many times would you expect to get more than or equal to 3?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.80.2
pinkblue
Color

Probability of Type

0.70.3
sedanwagon
Type

What is the probability of a car being a pink wagon?
[2]