Probability Powerplay
Level 6, 2026-06-12
An obstacle course has 2 Fences and 1 Ditches. You have a 50% 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]
You shoot an arrow at a target. There is a 60% chance of scoring a 20, a 20% chance of scoring a 60, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
There are 45 balls in a bag. This is is the probability distribution of their color:


0.20.8
greenorange
Color

How many green 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:


0.10.20.7
12345
Number

What is the probability of rolling a number from 3 to 4?
[1]
A bag has 2 balls with number 8 and 8 balls with a number 2. You take out 1 ball.
What is the probability of getting the ball with the number 2?
[1]
A group of kids were timed running 100m. Here are the results:
Timekids
135
141
154
161
170

What is the probability of the kids to run 100m in exactly 17s?
[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:


0.450.250.150.15
12345
Number

What is the probability of rolling 4 or 5?
[1]
Roll 72 6-sided dice.
How many times would you expect to get an odd number?
[1]
Roll 30 6-sided dice.
How many times would you expect to get anything except 3?
[1]
A bag has 4 red balls and 10 blue balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
Flip 7 coins.
What is the probability of getting 7 heads?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

Score02
1
2
31
41
55

What is the probability of the girls to score exactly 0?
[2]
A wheel has 7 red sections and 8 blue sections.
What is the probability of getting red?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than or equal to 5?
[1]
There are 36 balls in a bag. This is is the probability distribution of their color:


0.250.75
orangepurple
Color

How many purple balls were in the bag?
[1]
We asked a group of people how many Pillows they eat in a day. Here are the results:
Pillowspeople
05
15
23
31

What fraction of the people eat more than 1 Pillows in a day?
[2]
A bag has 7 balls with number 6 and 9 balls with a number 1. What will be the average of the numbers of the balls taken out of the bag
[1]