Probability Powerplay
Level 6, 2026-09-25
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]
Flip 2 coins.
What is the probability of getting 2 heads?
[1]
Roll 72 6-sided dice.
How many times would you expect to get less than 6?
[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:


0.10.10.8
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 1?
[1]
Flip a coin 8 times.
Each time a Tail comes up you win $4. It costs $11 to play (paid once). How much money would you expect to make altogether?
[1]
A bag has 2 balls with numbers from 2 to 3. You take out 1 ball.
What is the probability of NOT getting the ball with the number 3?
[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:


0.050.050.250.65
12345
Number

What is the probability of rolling a number that is bigger than 1?
[1]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.60.4
greenpinkpurple
Color

How many pink balls were in the bag?
[1]
You shoot an arrow at a target. There is a 70% chance of scoring a 20 and a 30% chance of scoring a 40. What average score do you expect to get if you do this many times?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.50.5
yellowblue
Color

Probability of Type

0.70.3
sedanwagon
Type

What is the probability of a car being a blue sedan?
[2]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.50.5
orangepinkred
Color

How many red balls were in the bag?
[1]
The weather forecast says that the chances of rain are 20%. Your chance of being outside today is 50%. You flip a coin to decide whether to take your umbrella.
What is the probability of getting wet today?
[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:


0.750.20.05
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

Score06
11
26
33
43
53

What is the probability of the boys to score exactly 0?
[2]
A bag has 4 balls with numbers from 2 to 5. You take out 1 ball.
What is the probability of getting the ball with the number 6?
[1]
Roll 1 6-sided die.
What is the probability of getting an even number?
[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:


0.50.10.250.15
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 4?
[1]
A bag has 3 balls with number 7 and 3 balls with a number 2. You take out 1 ball.
What is the probability of getting the ball with the number 7?
[1]