Probability Powerplay
Level 6, 2025-12-06
A wheel has 14 sections, each a number on it from 1 to 14. 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 4 6-sided dice.
What is the probability of getting 4 numbers that are even?
[1]
A group of people did a math test and here are their scores out of 5:
Scorepeople
01
15
21
30
44
54

What is the probability of the people to score less than 1?
[2]
A group of girls were timed running 100m. Here are the results:
girls

Time132
144
154
16
17

What fraction of the girls run 100m in exactly 13s?
[2]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.10.30.6
pinkredyellow
Color

If you choose a random ball from the bag, what is the probability of it being pink or yellow?
[1]
We asked a group of girls how many Burgers they eat in a day. Here are the results:
Burgersgirls
01
10
23
32

What is the probability of the girls to eat exactly 4 Burgers in a day?
[2]
The weather forecast says that the chances of rain are 50%. The chance of remembering your umbrella is 60%. Your chance of being outside today are 90%.
What is the probability of getting wet today?
[1]
Roll 2 6-sided dice.
What is the probability of getting a 2 on both dice?
[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:


0.50.250.150.1
12345
Number

What is the probability of rolling a number that is bigger than 2?
[1]
Flip a coin 4 times.
Each time a head comes up you win $2 and with each tail you lose $2. It costs $8 to play (paid once). How much money would you expect to make altogether?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.20.10.7
pinkgreenyellow
Color

How many pink balls were in the bag?
[1]
Roll 6 6-sided dice.
How many times would you expect to get an even number?
[1]
Flip a coin 14 times.
Each time a head comes up you win $1 and with each tail you lose $4. It costs $18 to play (paid once). How much money would you expect to make altogether?
[1]
A group of girls were timed running 100m. Here are the results:
Timegirls
131
143
155
165
174

What fraction of the girls run 100m in exactly 17s?
[2]
A group of kids were timed running 100m. Here are the results:
kids

Time131
145
153
16
176

What is the probability of the kids to run 100m in more than 15s?
[2]