Probability Powerplay
Level 6, 2026-08-08
You shoot an arrow at a target. There is a 50% chance of scoring a 10, 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 2 6-sided dice.
What is the probability of getting 2 numbers that are less than 5?
[1]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are more than 3?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.50.40.1
greenbluepurple
Color

How many green balls were in the bag?
[1]
The weather forecast says that the chances of rain are 20%. Your chance of being outside today is 90%. The chance of remembering your umbrella is 60%.
What is the probability of getting wet today?
[1]
A bag has 2 red balls and 6 blue balls. You take out a blue ball, then a blue ball, then another ball.
What is the probability of getting red for the last ball?
[1]
A group of dogs did a math test and here are their scores out of 5:
Scoredogs
02
14
26
30
43
54

What fraction of the dogs score less than 2?
[2]
A group of kids did a math test and here are their scores out of 5:
kids

65655
012345
Score

What fraction of the kids score exactly 1?
[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:


0.250.250.150.150.2
12345
Number

What is the probability of rolling a number that is bigger than or equal to 4?
[1]
A bag has 4 balls with number 5 and 9 balls with a number 1. You take out 1 ball.
What is the probability of getting the ball with the number 1?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.20.8
purplepinkorange
Color

If you choose a random ball from the bag, what is the probability of it not being pink or orange?
[1]
A bag has 2 balls with number 5 and 9 balls with a number 1. You take out 1 ball.
What is the probability of getting the ball with the number 5?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

21334
012345
Score

What is the probability of the kids to score less than 0?
[2]
We asked a group of kids how many Burgers they eat in a week. Here are the results:
kids

631
0123
Burgers

What is the probability of the kids to eat less than 3 Burgers in a week?
[2]
Roll 72 6-sided dice.
How many times would you expect to get a number less than 4?
[1]
You shoot an arrow at a target. There is a 50% chance of scoring a 10, a 40% 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]