Probability Powerplay
Level 6, 2026-08-07
A bag has 7 balls with numbers from 4 to 10. You take out 1 ball.
What is the probability of NOT getting the ball with the number 10?
[1]
A bag has 2 balls with number 6 and 3 balls with a number 1. You take out 1 ball.
What is the probability of getting the ball with the number 6?
[1]
Flip 1 coin.
What is the probability of getting a tail?
[1]
The weather forecast says that the chances of rain are 20%. Your chance of being outside today is 60%. The chance of remembering your umbrella is 60%.
What is the probability of getting wet today?
[1]
Roll 66 6-sided dice.
How many times would you expect to get an even number?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.40.20.4
greenblueyellow
Color

If you choose a random ball from the bag, what is the probability of it not being yellow or blue?
[1]
Flip a coin 6 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]
You shoot an arrow at a target. There is a 20% chance of scoring a 10 and a 20% chance of scoring a 40 and a 60% 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

543
1314151617
Time

What fraction of the humans run 100m in exactly 17s?
[2]
A bag has 10 red balls, 5 blue balls and 4 yellow 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]
You shoot an arrow at a target. There is a 20% chance of scoring a 10 and a 20% chance of scoring a 30 and a 60% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
Roll 54 6-sided dice.
How many times would you expect to get an ugly number?
[1]
Roll 1 6-sided die.
What is the probability of getting an even number?
[1]
A bag has 5 red balls and 4 blue balls. You take out 1 blue ball, then another ball.
What is the probability of getting blue for the second ball?
[1]
A group of boys were timed running 100m. Here are the results:
Timeboys
130
141
153
164
175

What fraction of the boys run 100m in exactly 14s?
[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:


0.150.250.150.45
12345
Number

What is the probability of rolling a number that is smaller than 3?
[1]
A group of boys did a math test and here are their scores out of 5:
Scoreboys
05
10
24
31
41
54

What is the probability of the boys to score less than 0?
[2]