Probability Powerplay
Level 6, 2026-02-14
A group of humans were timed running 100m. Here are the results:
humans

4115
1314151617
Time

What fraction of the humans run 100m in more than 15s?
[2]
A wheel has 4 purple sections and 2 blue sections.
What is the probability of getting purple?
[1]
Flip a coin 2 times.
Each time a Head comes up you win $1. How much money would you expect to make altogether?
[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]
You roll 2 3-sided dice
You add the two numbers. What is the probability of getting more than or equal to 3?
[1]
A bag has 2 balls with numbers from 5 to 6. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 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:


0.150.250.050.050.5
12345
Number

What is the probability of rolling a number that is bigger than 1 or smaller than 4?
[1]
A bag has 2 balls with number 3 and 7 balls with a number 6. What will be the average of the numbers of the balls taken out of the bag
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.50.5
redyellow
Color

Probability of Type

0.70.3
wagonsedan
Type

What is the probability of a car being a yellow wagon?
[2]
There are 8 balls in a bag. This is is the probability distribution of their color:


0.750.25
redpink
Color

How many pink balls were in the bag?
[1]
We asked a group of kids how many Peaches they eat in a month. Here are the results:
kids

663
0123
Peaches

What is the probability of the kids to eat less than 1 Peaches in a month?
[2]
Roll 4 6-sided dice.
What is the probability of getting 4 numbers that are less than 3?
[1]
Flip a coin 10 times.
Each time a head comes up you win $2 and with each tail you lose $2. How much money would you expect to make altogether?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.40.6
orangepink
Color

Probability of Type

0.90.1
wagonsedan
Type

What is the probability of a car being a orange sedan?
[2]
Flip 2 coins.
What is the probability of getting 2 tails?
[1]
A bag has 6 red balls and 4 blue balls. You take out a red ball, then a red ball, then another ball.
What is the probability of getting blue for the last ball?
[1]