Probability Powerplay
Level 6, 2026-02-14
A group of boys were timed running 100m. Here are the results:
boys

Time135
141
151
163
17

What is the probability of the boys to run 100m in more than 13s?
[2]
A group of humans did a math test and here are their scores out of 5:
humans

Score04
12
2
32
43
56

What fraction of the humans score exactly 4?
[2]
A group of people did a math test and here are their scores out of 5:
Scorepeople
02
10
24
30
45
52

What fraction of the people score exactly 5?
[2]
There are 10 balls in a bag. This is is the probability distribution of their color:


0.20.30.5
greenorangeblue
Color

If you choose a random ball from the bag, what is the probability of it not being green or blue?
[1]
A bag has 4 balls with number 5 and 7 balls with a number 5. 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:


0.80.050.15
12345
Number

What is the probability of rolling 3 or 5?
[1]
There are 100 balls in a bag. This is is the probability distribution of their color:


0.20.50.3
purpleredblue
Color

If you choose a random ball from the bag, what is the probability of it not being red?
[1]
The weather forecast says that the chances of rain are 20%. The chance of remembering your umbrella is 40%. Your chance of being outside today are 50%.
What is the probability of getting wet today?
[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:


0.20.150.250.4
12345
Number

What is the probability of rolling a number that is bigger than or equal to 1?
[1]
There are 45 balls in a bag. This is is the probability distribution of their color:


0.80.2
blueyellow
Color

How many blue balls were in the bag?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
pinkorange
Color

Probability of Type

0.40.6
sedanwagon
Type

What is the probability of a car being a orange wagon?
[2]
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]
The weather forecast says that the chances of rain are 60%. The chance of remembering your umbrella is 40%. Your chance of being outside today are 40%.
What is the probability of getting wet today?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.50.30.2
redbluepurple
Color

If you choose a random ball from the bag, what is the probability of it being blue?
[1]
Roll 30 6-sided dice.
How many times would you expect to get less than or equal to 6?
[1]
Roll a die 66 times.
How many times would you expect to get a 2?
[1]