Probability Powerplay
Level 6, 2026-06-07
Flip a coin 14 times.
Each time a head comes up you win $2 and with each tail you lose $4. How much money would you expect to make altogether?
[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:


0.450.20.150.050.15
12345
Number

What is the probability of rolling a number that is bigger than 2?
[1]
A group of people were timed running 100m. Here are the results:
people

Time131
14
152
166
171

What is the probability of the people to run 100m in exactly 13s?
[2]
A wheel has 12 sections, each a number on it from 1 to 12. If you spin an even number you win that amount of dollars, if you spin an odd number you lose.
What prize do we expect to get if we spin the wheel?
[1]
Flip 3 coins.
What is the probability of getting 3 heads?
[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:


0.050.20.75
12345
Number

What is the probability of rolling a number that is smaller than 4?
[1]
Flip a coin 6 times.
Each time a head comes up you win $1 and with each tail you lose $3. It costs $9 to play (paid once). How much money would you expect to make altogether?
[1]
We asked a group of girls how many Oranges they eat in a month. Here are the results:
girls

4263
0123
Oranges

What is the probability of the girls to eat exactly 3 Oranges in a month?
[2]
Roll 6 6-sided dice.
How many times would you expect to get less than or equal to 2?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.70.3
greenpurpleblue
Color

If you choose a random ball from the bag, what is the probability of it being blue or green?
[1]
A bag has 5 balls with numbers from 3 to 7. You take out 1 ball.
What is the probability of NOT getting the ball with the number 8?
[1]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.10.40.5
blueorangered
Color

How many red balls were in the bag?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

Score03
11
25
33
42
52

What fraction of the boys score exactly 5?
[2]
Cars go by on a road, each is a different color and type.

Probability of Color

0.20.8
greenorange
Color

Probability of Type

0.20.8
sedanwagon
Type

What is the probability of a car being a green sedan?
[2]
The weather forecast says that the chances of rain are 60%. Your chance of being outside today is 90%. The chance of remembering your umbrella is 70%.
What is the probability of getting wet today?
[1]
Flip a coin 14 times.
How many times would you expect to get Heads?
[1]