Probability Powerplay
Level 6, 2026-08-29
There are 100 balls in a bag. This is is the probability distribution of their color:


0.20.50.3
bluepurpleorange
Color

If you choose a random ball from the bag, what is the probability of it being blue?
[1]
An obstacle course has 1 Fences and 2 Ditches. You have a 100% chance of clearing a Fence and a 100% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
A group of people did a math test and here are their scores out of 5:
Scorepeople
01
15
26
31
40
51

What fraction of the people score exactly 0?
[2]
A bag has 3 balls with numbers from 2 to 4. You take out 1 ball.
What is the probability of NOT getting the ball with the number 4?
[1]
Flip a coin 12 times.
Each time a Tail comes up you win $4. How much money would you expect to make altogether?
[1]
A bag has 9 balls with numbers from 4 to 12. You take out 1 ball.
What is the probability of NOT getting the ball with the number 11?
[1]
Roll 78 6-sided dice.
How many times would you expect to get more than or equal to 4?
[1]
You shoot an arrow at a target. There is a 50% chance of scoring a 10 and a 50% chance of scoring a 40. What average score do you expect to get if you do this many times?
[1]
There are 8 balls in a bag. This is is the probability distribution of their color:


0.50.5
redpurple
Color

How many purple balls were in the bag?
[1]
A bag has 7 red balls, 4 blue balls and 9 yellow balls. You take out a yellow ball, then a red ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
Flip a coin 8 times.
How many times would you expect to get Heads?
[1]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are less than 3?
[1]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are 1 or 4?
[1]
A group of girls were timed running 100m. Here are the results:
girls

2436
1314151617
Time

What is the probability of the girls to run 100m in exactly 14s?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

1
pinkpurple
Color

Probability of Type

0.70.3
wagonsedan
Type

What is the probability of a car being a purple wagon?
[2]
An obstacle course has 1 Fences and 2 Ditches. You have a 90% chance of clearing a Fence and a 50% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting less than or equal to 3?
[1]