Probability Powerplay
Level 6, 2026-07-05
You flip a coin and roll a 9 sided die.
What is the probability of getting a 6 and a head?
[1]
A wheel has 9 sections, each a number on it from 1 to 9. If you spin an odd number you win that amount of dollars, if you spin an even number you lose.
What prize do we expect to get if we spin the wheel?
[1]
An obstacle course has 1 Fences and 1 Ditches. You have a 80% 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]
Cars go by on a road, each is a different color and type.

Probability of Color

0.80.2
yelloworange
Color

Probability of Type

0.60.4
wagonsedan
Type

What is the probability of a car being a yellow sedan?
[2]
A bag has 3 balls with number 1 and 3 balls with a number 3. What will be the average of the numbers of the balls taken out of the bag
[1]
A bag has 8 balls with numbers from 2 to 9. You take out 1 ball.
What is the probability of getting the ball with the number 4?
[1]
Roll 66 6-sided dice.
How many times would you expect to get less than 2?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
purpleorange
Color

Probability of Type

0.10.9
sedanwagon
Type

What is the probability of a car being a purple wagon?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.70.3
greenred
Color

Probability of Type

0.30.7
wagonsedan
Type

What is the probability of a car being a green wagon?
[2]
A group of boys were timed running 100m. Here are the results:
Timeboys
131
142
152
164
171

What fraction of the boys run 100m in less than 15s?
[2]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.50.10.4
greenbluered
Color

If you choose a random ball from the bag, what is the probability of it not being blue?
[1]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are less than 3?
[1]
A bag has 6 red balls, 10 blue balls and 9 yellow balls. You take out a yellow ball, then a yellow ball, then another ball.
What is the probability of getting red for the last ball?
[1]
An obstacle course has 1 Fences and 1 Ditches. You have a 50% chance of clearing a Fence and a 80% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
A group of dogs were timed running 100m. Here are the results:
dogs

Time13
141
153
16
176

What is the probability of the dogs to run 100m in less than 17s?
[2]