Probability Powerplay
Level 6, 2026-09-01
You flip a coin and roll a 6 sided die.
What is the probability of getting a number less than 5 and a head?
[1]
Flip a coin 10 times.
Each time a Tail comes up you win $1. It costs $13 to play (paid once). How much money would you expect to make altogether?
[1]
A bag has 3 balls with number 7 and 4 balls with a number 8. You take out 1 ball.
What is the probability of getting the ball with the number 8?
[1]
The weather forecast says that the chances of rain are 20%. Your chance of being outside today is 90%. The chance of remembering your umbrella is 40%.
What is the probability of getting wet today?
[1]
A group of boys were timed running 100m. Here are the results:
Timeboys
135
143
153
165
175

What is the probability of the boys to run 100m in less than 14s?
[2]
A group of people did a math test and here are their scores out of 5:
people

423543
012345
Score

What is the probability of the people to score exactly 2?
[2]
Roll 54 6-sided dice.
How many times would you expect to get an even number?
[1]
A group of kids were timed running 100m. Here are the results:
Timekids
136
145
153
162
174

What fraction of the kids run 100m in exactly 17s?
[2]
You shoot an arrow at a target. There is a 40% chance of scoring a 20, a 40% chance of scoring a 50, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.70.3
greenbluepurple
Color

If you choose a random ball from the bag, what is the probability of it being purple or blue?
[1]
A group of kids were timed running 100m. Here are the results:
Timekids
135
142
155
162
173

What is the probability of the kids to run 100m in less than 14s?
[2]
A bag has 5 balls with numbers from 3 to 7. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 4?
[1]
A group of people did a math test and here are their scores out of 5:
people

Score0
1
26
36
42
54

What is the probability of the people to score less than 5?
[2]
A bag has 10 balls with numbers from 3 to 12. You take out 1 ball.
What is the probability of getting the ball with the number 6?
[1]
A bag has 5 balls with number 4 and 9 balls with a number 6. You take out 1 ball.
What is the probability of getting the ball with the number 4?
[1]