Probability Powerplay
Level 6, 2026-06-30
Flip a coin 16 times.
Each time a head comes up you win $1 and with each tail you lose $3. How much money would you expect to make altogether?
[1]
You flip a coin and roll a 5 sided die.
What is the probability of getting a 4 and a tail?
[1]
A bag has 8 balls with number 8 and 4 balls with a number 8. 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

1
greenpink
Color

Probability of Type

0.10.9
wagonsedan
Type

What is the probability of a car being a pink sedan?
[2]
Roll 6 6-sided dice.
How many times would you expect to get more than 4?
[1]
A bag has 7 balls with numbers from 4 to 10. You take out 1 ball.
What is the probability of getting a ball with a number less than 4?
[1]
Roll 120 6-sided dice.
How many times would you expect to get less than 5?
[1]
We asked a group of kids how many Apples they eat in a day. Here are the results:
kids

411
0123
Apples

What is the probability of the kids to eat exactly 4 Apples in a day?
[2]
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:


0.10.150.75
12345
Number

What is the probability of rolling a number that is bigger than 2 or smaller than 3?
[1]
A bag has 2 balls with number 3 and 3 balls with a number 8. You take out 1 ball.
What is the probability of getting the ball with the number 8?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

Score06
1
22
36
45
54

What is the probability of the kids to score exactly 2?
[2]
You flip a coin and roll a 10 sided die.
What is the probability of getting a 2 and a tail?
[1]
You shoot an arrow at a target. There is a 50% chance of scoring a 20 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 humans were timed running 100m. Here are the results:
humans

Time133
144
153
166
175

What is the probability of the humans to run 100m in exactly 16s?
[2]
We asked a group of kids how many Bananas they eat in a week. Here are the results:
kids

Bananas04
11
24
31

What fraction of the kids eat more than 4 Bananas in a week?
[2]