Probability Powerplay
Level 6, 2026-01-09
A wheel has 7 sections, each a number on it from 1 to 7. 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]
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:


0.80.050.15
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 2?
[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:


0.150.10.150.6
12345
Number

What is the probability of rolling a number that is bigger than 2 or smaller than 5?
[1]
We asked a group of kids how many Strawberries they eat in a month. Here are the results:
kids

1434
0123
Strawberries

What fraction of the kids eat exactly 4 Strawberries in a month?
[2]
Flip a coin 8 times.
Each time a head comes up you win $1 and with each tail you lose $4. It costs $5 to play (paid once). How much money would you expect to make altogether?
[1]
We asked a group of girls how many Popsicles they eat in a week. Here are the results:
Popsiclesgirls
05
16
21
33

What is the probability of the girls to eat less than 0 Popsicles in a week?
[2]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are less than 5?
[1]
We asked a group of kids how many Bowls of Ramen they eat in a day. Here are the results:
Bowls of Ramenkids
01
10
21
36

What fraction of the kids eat more than 2 Bowls of Ramen in a day?
[2]
We asked a group of boys how many Chocolates they eat in a month. Here are the results:
boys

Chocolates02
12
21
3

What fraction of the boys eat exactly 3 Chocolates in a month?
[2]
A group of dogs did a math test and here are their scores out of 5:
Scoredogs
06
12
21
32
43
55

What fraction of the dogs score exactly 2?
[2]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.30.30.4
orangepurplered
Color

If you choose a random ball from the bag, what is the probability of it not being orange?
[1]
A bag has 9 balls with number 3 and 3 balls with a number 1. You take out 1 ball.
What is the probability of getting the ball with the number 1?
[1]
A group of girls were timed running 100m. Here are the results:
Timegirls
135
141
155
161
171

What is the probability of the girls to 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:


0.60.20.050.15
12345
Number

What is the probability of rolling a 4?
[1]