Probability Powerplay
Level 6, 2026-06-06
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:


0.150.050.250.55
12345
Number

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

Time132
144
153
164
17

What is the probability of the boys to run 100m in exactly 15s?
[2]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.10.9
bluered
Color

How many blue balls were in the bag?
[1]
A bag has 2 red balls and 10 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 20 balls in a bag. This is is the probability distribution of their color:


0.50.5
purplepinkred
Color

If you choose a random ball from the bag, what is the probability of it being purple or pink?
[1]
Roll 2 6-sided dice.
What is the probability of getting a 5 on both dice?
[1]
A bag has 2 red balls, 6 blue balls and 10 yellow 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]
The weather forecast says that the chances of rain are 20%. The chance of remembering your umbrella is 60%. Your chance of being outside today are 90%.
What is the probability of getting wet today?
[1]
A bag has 4 balls with number 6 and 6 balls with a number 7. What will be the average of the numbers of the balls taken out of the bag
[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:


0.150.150.150.55
12345
Number

What is the probability of rolling a 1?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.30.40.3
purpleorangeyellow
Color

If you choose a random ball from the bag, what is the probability of it not being orange?
[1]
A group of girls were timed running 100m. Here are the results:
girls

2
1314151617
Time

What is the probability of the girls to run 100m in less than 13s?
[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:


0.050.250.150.55
12345
Number

What is the probability of rolling a 4?
[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:


0.050.20.10.050.6
12345
Number

What is the probability of rolling a number from 1 to 5?
[1]
A group of kids did a math test and here are their scores out of 5:
Scorekids
01
10
22
31
43
54

What fraction of the kids score more than 3?
[2]
You shoot an arrow at a target. There is a 10% chance of scoring a 20 and a 10% chance of scoring a 40 and a 80% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
A wheel has 14 sections, each a number on it from 1 to 14. 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]