Probability Powerplay
Level 6, 2026-09-16
A group of people did a math test and here are their scores out of 5:
people

Score06
1
23
36
42
56

What fraction of the people score less than 3?
[2]
You flip a coin and roll a 7 sided die.
What is the probability of getting a 5 and a tail?
[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:


0.450.250.050.25
12345
Number

What is the probability of rolling a number that is smaller than 4?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.20.8
pinkgreenpurple
Color

If you choose a random ball from the bag, what is the probability of it not being purple?
[1]
Roll 126 6-sided dice.
How many times would you expect to get an ugly number?
[1]
A group of humans did a math test and here are their scores out of 5:
humans

51112
012345
Score

What fraction of the humans score more than 3?
[2]
A bag has 9 red balls and 8 blue balls. You take out a red ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
You shoot an arrow at a target. You will either score 10 (20% chance), 30 (20% chance), or 50. What average score do you expect to get if you do this many times?
[1]
A group of people were timed running 100m. Here are the results:
people

52635
1314151617
Time

What fraction of the people run 100m in less than 16s?
[2]
We asked a group of kids how many Popsicles they eat in a day. Here are the results:
kids

Popsicles01
14
21
34

What fraction of the kids eat exactly 4 Popsicles in a day?
[2]
The chances of feeling like icecream are 90%. The chances of being near an icecream store are 80%. There is a 30% chance that you lost all your money.
What is the probability of having icecream?
[1]
A wheel has 8 sections, each has a reward in dollars, from $1 through to $8.
What prize do we expect to get if we spin the wheel?
[1]
We asked a group of girls how many Pizzas they eat in a month. Here are the results:
girls

2421
0123
Pizzas

What fraction of the girls eat exactly 2 Pizzas in a month?
[2]
We asked a group of girls how many Chocolates they eat in a day. Here are the results:
girls

Chocolates04
15
25
32

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