Probability Powerplay
Level 6, 2026-08-15
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:


0.10.250.65
12345
Number

What is the probability of rolling a number that is bigger than 4 or smaller than 5?
[1]
Roll 114 6-sided dice.
How many times would you expect to get anything except 3?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting exactly 2?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 20, a 30% chance of scoring a 50, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
Roll 72 6-sided dice.
How many times would you expect to get less than 1?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

Score05
12
22
36
42
54

What is the probability of the girls to score less than 5?
[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:


0.70.20.050.05
12345
Number

What is the probability of rolling a number that is bigger than 2 or smaller than 4?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than or equal to 2?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

36521
012345
Score

What is the probability of the girls to score exactly 5?
[2]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.10.40.5
pinkgreenpurple
Color

How many pink balls were in the bag?
[1]
Roll 1 6-sided die.
What is the probability of getting a number smaller than 3?
[1]
A wheel has 13 sections, each a number on it from 1 to 13. If you spin an odd number you win that amount of dollars, if you spin an even number you lose.
What prize do we expect to get if we spin the wheel?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.40.50.1
blueredgreen
Color

If you choose a random ball from the bag, what is the probability of it being green or blue?
[1]
There are 35 balls in a bag. This is is the probability distribution of their color:


0.80.2
purpleyellow
Color

How many purple balls were in the bag?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

Score03
14
26
36
42
53

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

2566
1314151617
Time

What fraction of the girls run 100m in less than 15s?
[2]