Probability Powerplay
Level 6, 2026-06-16
Roll 30 6-sided dice.
How many times would you expect to get an odd number?
[1]
A bag has 7 balls with number 2 and 8 balls with a number 9. You take out 1 ball.
What is the probability of getting the ball with the number 9?
[1]
A wheel has 6 green sections and 8 orange sections.
What is the probability of getting orange?
[1]
The chances of feeling like icecream are 60%. The chances of being near an icecream store are 90%. There is a 20% chance that you lost all your money.
What is the probability of having icecream?
[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:


0.10.20.050.250.4
12345
Number

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

Time132
142
153
166
176

What fraction of the dogs run 100m in more than 15s?
[2]
A group of humans were timed running 100m. Here are the results:
Timehumans
134
142
153
163
173

What fraction of the humans run 100m in less than 14s?
[2]
Flip a coin 4 times.
Each time a Head comes up you win $3. It costs $6 to play (paid once). How much money would you expect to make altogether?
[1]
A group of people were timed running 100m. Here are the results:
people

2655
1314151617
Time

What is the probability of the people to run 100m in exactly 16s?
[2]
A bag has 6 balls with number 5 and 4 balls with a number 5. You take out 1 ball.
What is the probability of getting the ball with the number 5?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

Score01
1
25
3
46
53

What is the probability of the girls to score more than 5?
[2]
Roll 138 6-sided dice.
How many times would you expect to get a number more than 1?
[1]
Flip 1 coin.
What is the probability of getting a head?
[1]
Roll 144 6-sided dice.
How many times would you expect to get anything except 1?
[1]
A bag has 6 red balls and 3 blue balls. You take out a red ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.70.3
orangegreenpurple
Color

If you choose a random ball from the bag, what is the probability of it not being purple or orange?
[1]