Probability Powerplay
Level 6, 2026-04-03
There are 30 balls in a bag. This is is the probability distribution of their color:


0.30.7
purplepinkblue
Color

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

Time134
142
156
16
173

What fraction of the boys run 100m in exactly 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:


0.150.250.150.45
12345
Number

What is the probability of rolling a number that is bigger than or equal to 3?
[1]
Flip a coin 6 times.
Each time a head comes up you win $2 and with each tail you lose $2. It costs $4 to play (paid once). How much money would you expect to make altogether?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.10.9
greenorange
Color

Probability of Type

0.90.1
sedanwagon
Type

What is the probability of a car being a orange sedan?
[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:


0.20.250.150.20.2
12345
Number

What is the probability of rolling a number that is bigger than or equal to 4?
[1]
We asked a group of boys how many Bowls of Ramen they eat in a month. Here are the results:
Bowls of Ramenboys
00
15
21
34

What is the probability of the boys to eat less than 4 Bowls of Ramen in a month?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
greenpurple
Color

Probability of Type

0.60.4
wagonsedan
Type

What is the probability of a car being a purple sedan?
[2]
A bag has 3 red balls and 6 blue balls. You take out 1 ball.
What is the probability of getting a blue 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:


0.60.10.10.2
12345
Number

What is the probability of rolling a number that is bigger than or equal to 4?
[1]
A group of dogs were timed running 100m. Here are the results:
dogs

Time13
144
15
162
173

What is the probability of the dogs to run 100m in less than 15s?
[2]
A group of boys were timed running 100m. Here are the results:
Timeboys
131
144
152
162
170

What is the probability of the boys to run 100m in more than 14s?
[2]
Roll 2 6-sided dice.
What is the probability of getting a 1 on both dice?
[1]
A bag has 2 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 blue for the last ball?
[1]