Probability Powerplay
Level 6, 2026-07-15
The chances of feeling like icecream are 80%. The chances of being near an icecream store are 90%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?
[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:


0.60.10.050.050.2
12345
Number

What is the probability of rolling a 3?
[1]
The weather forecast says that the chances of rain are 60%. The chance of remembering your umbrella is 70%. Your chance of being outside today are 50%.
What is the probability of getting wet today?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

Score03
13
26
35
43
51

What fraction of the boys score exactly 3?
[2]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.30.30.4
yellowredblue
Color

If you choose a random ball from the bag, what is the probability of it being yellow?
[1]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are more than 3?
[1]
A bag has 4 balls with number 7 and 7 balls with a number 4. What will be the average of the numbers of the balls taken out of the bag
[1]
Roll 60 6-sided dice.
How many times would you expect to get anything except 1?
[1]
We asked a group of people how many Bananas they eat in a day. Here are the results:
people

1546
0123
Bananas

What is the probability of the people to eat exactly 1 Bananas in a day?
[2]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number equal to 6 and a tail?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

523622
012345
Score

What is the probability of the girls to score more than 2?
[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:


0.20.050.050.7
12345
Number

What is the probability of rolling a number that is bigger than 2 or smaller than 5?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 20, a 30% 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]
Roll 6 6-sided dice.
How many times would you expect to get more than 3?
[1]
Flip a coin 18 times.
Each time a Head comes up you win $2. It costs $25 to play (paid once). How much money would you expect to make altogether?
[1]
We asked a group of girls how many Burgers they eat in a month. Here are the results:
Burgersgirls
00
11
22
34

What is the probability of the girls to eat more than 4 Burgers in a month?
[2]