Probability Powerplay
Level 6, 2026-02-20
You flip a coin and roll a 4 sided die.
What is the probability of getting a 5 and a head?
[1]
Roll a die 72 times.
How many times would you expect to get a 5?
[1]
A group of humans did a math test and here are their scores out of 5:
humans

Score04
11
22
34
41
54

What fraction of the humans score exactly 3?
[2]
There are 22 balls in a bag. This is is the probability distribution of their color:


0.50.5
purplered
Color

How many red balls were in the bag?
[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:


0.650.20.15
12345
Number

What is the probability of rolling a number that is bigger than 3?
[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 kids were timed running 100m. Here are the results:
Timekids
131
143
152
160
175

What is the probability of the kids to run 100m in more than 13s?
[2]
A group of boys did a math test and here are their scores out of 5:
boys

Score04
16
23
3
45
54

What fraction of the boys score exactly 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:


0.350.20.250.2
12345
Number

What is the probability of rolling a number that is bigger than or equal to 4?
[1]
The weather forecast says that the chances of rain are 30%. Your chance of being outside today is 70%. The chance of remembering your umbrella is 70%.
What is the probability of getting wet today?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.10.40.5
pinkpurpleblue
Color

If you choose a random ball from the bag, what is the probability of it not being purple or pink?
[1]
A bag has 7 red balls and 2 blue balls. You take out 1 blue ball, then another ball.
What is the probability of getting blue for the second ball?
[1]
A bag has 7 red balls and 2 blue balls. You take out a red ball, then a red ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

Score03
13
24
3
44
53

What is the probability of the girls to score less than 1?
[2]
We asked a group of boys how many Hot dogs they eat in a week. Here are the results:
boys

4456
0123
Hot dogs

What is the probability of the boys to eat exactly 2 Hot dogs in a week?
[2]