Probability Powerplay
Level 6, 2026-11-03
We asked a group of boys how many Popsicles they eat in a week. Here are the results:
Popsiclesboys
05
11
25
36

What is the probability of the boys to eat less than 1 Popsicles in a week?
[2]
You shoot an arrow at a target. There is a 50% chance of scoring a 20 and a 50% chance of scoring a 40. What average score do you expect to get if you do this many times?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.20.20.6
pinkpurpleblue
Color

If you choose a random ball from the bag, what is the probability of it being purple or blue?
[1]
A bag has 5 balls with numbers from 2 to 6. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 2?
[1]
There are 32 balls in a bag. This is is the probability distribution of their color:


0.250.75
orangered
Color

How many orange balls were in the bag?
[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:


0.10.150.10.20.45
12345
Number

What is the probability of rolling a number that is smaller than 2?
[1]
Flip 2 coins.
What is the probability of getting a head and a tail?
[1]
There are 55 balls in a bag. This is is the probability distribution of their color:


0.20.8
pinkorange
Color

How many pink balls were in the bag?
[1]
You roll a 5 sided die and a 6 sided die.
What is the probability of getting 1 on both dice?
[1]
A group of people were timed running 100m. Here are the results:
people

25324
1314151617
Time

What is the probability of the people to run 100m in exactly 15s?
[2]
A bag has 8 balls with number 8 and 3 balls with a number 6. What will be the average of the numbers of the balls taken out of the bag
[1]
Roll 144 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:


0.10.20.250.20.25
12345
Number

What is the probability of rolling a number that is bigger than 4 or smaller than 5?
[1]
A wheel has 10 sections, 2 of each color.
What is the probability of getting pink?
[1]
We asked a group of dogs how many Burgers they eat in a week. Here are the results:
dogs

231
0123
Burgers

What fraction of the dogs eat more than 0 Burgers in a week?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
orangeblue
Color

Probability of Type

0.10.9
wagonsedan
Type

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