Probability Powerplay

Level 6, 2025-11-25

A group of boys did a math test and here are their scores out of 5:

Score	boys
0	2
1	1
2	6
3	1
4	6
5	5

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

[2]

We asked a group of humans how many Popsicles they eat in a day. Here are the results:

humans
Popsicles	0	4
	1	5
	2	4
	3	1

What is the probability of the humans to eat less than 3 Popsicles in a day?

[2]

There are 70 balls in a bag. This is is the probability distribution of their color:


	0.5	0.5
red	pink	blue
Color

If you choose a random ball from the bag, what is the probability of it being red?

[1]

A bag has 5 red balls, 5 blue balls and 7 yellow balls. You take out a yellow ball, then a yellow ball, then another ball.
What is the probability of getting blue for the last ball?

[1]

A group of girls did a math test and here are their scores out of 5:

girls
6	1	3	6	1	2
0	1	2	3	4	5
Score

What is the probability of the girls to score less than 2?

[2]

There are 40 balls in a bag. This is is the probability distribution of their color:


0.2	0.2	0.6
orange	red	pink
Color

How many orange balls were in the bag?

[1]

A group of boys did a math test and here are their scores out of 5:

Score	boys
0	2
1	3
2	5
3	3
4	1
5	4

What is the probability of the boys to score more than 4?

[2]

There are 8 balls in a bag. This is is the probability distribution of their color:


0.5	0.5
yellow	blue
Color

How many yellow balls were in the bag?

[1]

A wheel has 3 purple sections and 3 blue sections.
What is the probability of getting blue?

[1]

Roll 144 6-sided dice.
How many times would you expect to get more than 3?

[1]

An obstacle course has 2 Fences and 1 Ditches. You have a 90% chance of clearing a Fence and a 100% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?

[1]

A group of humans did a math test and here are their scores out of 5:

humans
6	1	3	6	3	3
0	1	2	3	4	5
Score

What fraction of the humans score exactly 2?

[2]

Flip a coin 10 times.
Each time a Head comes up you win $4. It costs $17 to play (paid once). How much money would you expect to make altogether?

[1]

There are 70 balls in a bag. This is is the probability distribution of their color:


0.4	0.1	0.5
yellow	orange	purple
Color

If you choose a random ball from the bag, what is the probability of it being purple or yellow?

[1]

Roll 18 6-sided dice.
How many times would you expect to get an odd number?

[1]