Probability Powerplay
Level 6, 2026-04-11
The weather forecast says that the chances of rain are 30%. Your chance of being outside today is 50%. The chance of remembering your umbrella is 60%.
What is the probability of getting wet today?
[1]
Roll 36 6-sided dice.
How many times would you expect to get a number more than 2?
[1]
A group of kids were timed running 100m. Here are the results:
kids

13322
1314151617
Time

What fraction of the kids run 100m in less than 13s?
[2]
A wheel has 10 sections, each has a reward in dollars, from $1 through to $10.
What prize do we expect to get if we spin the wheel?
[1]
A group of people were timed running 100m. Here are the results:
people

Time131
14
153
16
173

What fraction of the people run 100m in exactly 16s?
[2]
You shoot an arrow at a target. There is a 40% chance of scoring a 20, a 40% chance of scoring a 40, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
Flip a coin 6 times.
Each time a head comes up you win $1 and with each tail you lose $2. It costs $12 to play (paid once). How much money would you expect to make altogether?
[1]
There are 4 balls in a bag. This is is the probability distribution of their color:


0.750.25
orangeblue
Color

How many orange balls were in the bag?
[1]
We asked a group of girls how many Popsicles they eat in a day. Here are the results:
girls

Popsicles06
13
21
33

What is the probability of the girls to eat less than 0 Popsicles in a day?
[2]
A group of girls were timed running 100m. Here are the results:
Timegirls
136
146
155
162
176

What fraction of the girls run 100m in exactly 14s?
[2]
A wheel has 4 sections, 2 of each color.
What is the probability of getting yellow?
[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:


0.10.250.250.20.2
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 4?
[1]
A group of people did a math test and here are their scores out of 5:
Scorepeople
02
11
25
30
45
51

What is the probability of the people to score less than 5?
[2]
We asked a group of people how many Chocolates they eat in a month. Here are the results:
Chocolatespeople
02
12
25
35

What fraction of the people eat more than 3 Chocolates in a month?
[2]