Probability Powerplay
Level 6, 2026-10-20
You shoot an arrow at a target. There is a 10% chance of scoring a 10 and a 40% chance of scoring a 40 and a 50% chance of scoring a 60. What average score do you expect to get if you do this many times?
[1]
A group of kids were timed running 100m. Here are the results:
kids

24653
1314151617
Time

What fraction of the kids run 100m in exactly 15s?
[2]
A bag has 3 balls with numbers from 2 to 4. You take out 1 ball.
What is the probability of NOT getting the ball with the number 1?
[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:


0.40.20.150.25
12345
Number

What is the probability of rolling a number that is bigger than or equal to 2?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number more than 5 and a tail?
[1]
Roll 1 6-sided die.
What is the probability of getting a number bigger than or equal to 6?
[1]
The weather forecast says that the chances of rain are 90%. The chance of remembering your umbrella is 60%. Your chance of being outside today are 40%.
What is the probability of getting wet today?
[1]
There are 36 balls in a bag. This is is the probability distribution of their color:


0.250.75
bluepurple
Color

How many purple balls were in the bag?
[1]
The chances of feeling like icecream are 90%. The chances of being near an icecream store are 40%. There is a 30% chance that you lost all your money.
What is the probability of having icecream?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 30, a 30% chance of scoring a 40, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
A group of humans were timed running 100m. Here are the results:
humans

4611
1314151617
Time

What fraction of the humans run 100m in less than 14s?
[2]
Flip a coin 4 times.
Each time a Tail comes up you win $3. How much money would you expect to make altogether?
[1]
You roll a 9 sided die and a 3 sided die.
What is the probability of getting 1 on both dice?
[1]
We asked a group of dogs how many Pizzas they eat in a day. Here are the results:
Pizzasdogs
01
16
25
30

What fraction of the dogs eat more than 4 Pizzas in a day?
[2]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.50.5
pinkorangered
Color

If you choose a random ball from the bag, what is the probability of it not being orange?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

1
bluepink
Color

Probability of Type

0.70.3
wagonsedan
Type

What is the probability of a car being a blue sedan?
[2]