Probability Powerplay
Level 6, 2026-09-15
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:


0.050.10.20.65
12345
Number

What is the probability of rolling a number that is bigger than 1 and smaller than 3?
[1]
You flip a coin and roll a 4 sided die.
What is the probability of getting a 1 and a head?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.10.50.4
purplebluegreen
Color

If you choose a random ball from the bag, what is the probability of it being green?
[1]
A group of kids did a math test and here are their scores out of 5:
Scorekids
00
12
26
30
43
51

What fraction of the kids score less than 5?
[2]
A group of girls were timed running 100m. Here are the results:
girls

54566
1314151617
Time

What fraction of the girls run 100m in less than 16s?
[2]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.60.10.3
yellowpinkgreen
Color

If you choose a random ball from the bag, what is the probability of it being green?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.20.30.5
greenorangepink
Color

If you choose a random ball from the bag, what is the probability of it not being pink or orange?
[1]
You shoot an arrow at a target. There is a 20% chance of scoring a 10 and a 40% chance of scoring a 30 and a 40% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.50.5
redorange
Color

How many orange balls were in the bag?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 80% chance of clearing a Fence and a 90% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
Roll 54 6-sided dice.
How many times would you expect to get a number less than 6?
[1]
Roll 36 6-sided dice.
How many times would you expect to get more than 2?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

Score01
15
22
31
46
56

What is the probability of the dogs to score exactly 0?
[2]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.40.10.5
orangepurplepink
Color

If you choose a random ball from the bag, what is the probability of it not being purple?
[1]
Roll 108 6-sided dice.
How many times would you expect to get less than 2?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 2 or a 1 and a head or a tail?
[1]
The weather forecast says that the chances of rain are 80%. The chance of remembering your umbrella is 40%. Your chance of being outside today are 80%.
What is the probability of getting wet today?
[1]