Probability Powerplay
Level 6, 2026-07-30
A group of girls were timed running 100m. Here are the results:
girls

21622
1314151617
Time

What is the probability of the girls to run 100m in exactly 17s?
[2]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are more than 3?
[1]
A wheel has 7 sections, each has a reward in dollars, from $1 through to $7.
What prize do we expect to get if we spin the wheel?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.10.9
purpleblue
Color

How many blue balls were in the bag?
[1]
Flip 7 coins.
What is the probability of getting 7 tails?
[1]
You shoot an arrow at a target. There is a 70% chance of scoring a 20 and a 30% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 80% 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 10% chance of scoring a 20 and a 10% chance of scoring a 40 and a 80% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
We asked a group of humans how many Pillows they eat in a month. Here are the results:
humans

Pillows04
1
25
33

What is the probability of the humans to eat more than 0 Pillows in a month?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.80.2
yellowred
Color

Probability of Type

0.80.2
wagonsedan
Type

What is the probability of a car being a red sedan?
[2]
Roll 90 6-sided dice.
How many times would you expect to get anything except 3?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.60.4
orangepink
Color

Probability of Type

0.80.2
sedanwagon
Type

What is the probability of a car being a orange sedan?
[2]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.20.8
orangegreenyellow
Color

How many yellow balls were in the bag?
[1]
You shoot an arrow at a target. You will either score 10 (40% chance), 30 (10% chance), or 60. What average score do you expect to get if you do this many times?
[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:


0.60.150.10.10.05
12345
Number

What is the probability of rolling a number that is bigger than 1?
[1]
A bag has 3 balls with number 3 and 8 balls with a number 4. You take out 1 ball.
What is the probability of getting the ball with the number 4?
[1]