Probability Powerplay
Level 6, 2026-05-30
There are 40 balls in a bag. This is is the probability distribution of their color:


0.40.50.1
pinkyellowpurple
Color

How many yellow balls were in the bag?
[1]
A bag has 9 balls with numbers from 2 to 10. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 8?
[1]
You roll a 9 sided die and a 8 sided die.
What is the probability of getting 9 on both dice?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.70.3
yellowredorange
Color

If you choose a random ball from the bag, what is the probability of it not being red?
[1]
Roll 102 6-sided dice.
How many times would you expect to get a number less than 7?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 30, a 30% 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 20 balls in a bag. This is is the probability distribution of their color:


0.50.40.1
redpinkblue
Color

If you choose a random ball from the bag, what is the probability of it not being pink or blue?
[1]
There are 16 balls in a bag. This is is the probability distribution of their color:


0.750.25
blueorange
Color

How many blue balls were in the bag?
[1]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than or equal to 3?
[1]
A bag has 7 balls with number 4 and 7 balls with a number 3. You take out 1 ball.
What is the probability of getting the ball with the number 3?
[1]
A bag has 5 balls with numbers from 3 to 7. You take out 1 ball.
What is the probability of NOT getting the ball with the number 2?
[1]
We asked a group of humans how many Burgers they eat in a week. Here are the results:
Burgershumans
02
16
25
34

What fraction of the humans eat exactly 1 Burgers in a week?
[2]
A group of dogs were timed running 100m. Here are the results:
Timedogs
131
140
152
165
172

What is the probability of the dogs to run 100m in exactly 16s?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.10.9
purpleblue
Color

Probability of Type

0.40.6
sedanwagon
Type

What is the probability of a car being a purple sedan?
[2]
Flip 3 coins.
What is the probability of getting 3 tails?
[1]
A group of boys were timed running 100m. Here are the results:
Timeboys
132
145
156
166
170

What fraction of the boys run 100m in more than 16s?
[2]