Probability Powerplay
Level 6, 2026-06-06
The weather forecast says that the chances of rain are 50%. Your chance of being outside today is 50%. The chance of remembering your umbrella is 70%.
What is the probability of getting wet today?
[1]
A wheel has 8 sections, each has a reward in dollars, from $1 through to $8.
What prize do we expect to get if we spin the wheel?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.50.30.2
greenyelloworange
Color

How many yellow balls were in the bag?
[1]
A group of kids were timed running 100m. Here are the results:
kids

Time134
146
155
164
171

What fraction of the kids run 100m in less than 17s?
[2]
A bag has 6 red balls, 8 blue balls and 5 yellow balls. You take out a yellow ball, then a blue ball, then another ball.
What is the probability of getting red for the last ball?
[1]
Roll 84 6-sided dice.
How many times would you expect to get anything except 6?
[1]
You shoot an arrow at a target. You will either score 10 (40% chance), 30 (40% chance), or 50. What average score do you expect to get if you do this many times?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.30.50.2
blueyellowpink
Color

How many blue balls were in the bag?
[1]
Roll 120 6-sided dice.
How many times would you expect to get less than or equal to 4?
[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:


0.150.050.20.150.45
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
A wheel has 11 sections, each a different color.
What is the probability of getting purple?
[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:


0.150.150.150.250.3
12345
Number

What is the probability of rolling 2 or 3?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.50.10.4
yellowredblue
Color

If you choose a random ball from the bag, what is the probability of it being blue or yellow?
[1]
We asked a group of kids how many Bananas they eat in a month. Here are the results:
kids

Bananas01
14
21
34

What fraction of the kids eat more than 0 Bananas in a month?
[2]
The weather forecast says that the chances of rain are 90%. Your chance of being outside today is 60%. You flip a coin to decide whether to take your umbrella.
What is the probability of getting wet today?
[1]
Flip a coin 14 times.
How many times would you expect to get Tails?
[1]
A group of humans were timed running 100m. Here are the results:
humans

Time131
14
153
162
176

What is the probability of the humans to run 100m in exactly 16s?
[2]