Probability Powerplay

Level 6, 2026-08-16

Roll 102 6-sided dice.
How many times would you expect to get a number less than 2?

[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:


0.45	0.05	0.25	0.25
1	2	3	4	5
Number

What is the probability of rolling a number that is bigger than 1 or smaller than 4?

[1]

A group of girls were timed running 100m. Here are the results:

Time	girls
13	3
14	6
15	0
16	5
17	4

What is the probability of the girls to run 100m in exactly 16s?

[2]

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

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

What fraction of the girls score less than 1?

[2]

Roll 126 6-sided dice.
How many times would you expect to get more than or equal to 5?

[1]

Flip a coin 18 times.
Each time a head comes up you win $1 and with each tail you lose $4. It costs $20 to play (paid once). How much money would you expect to make altogether?

[1]

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

Score	dogs
0	5
1	2
2	3
3	4
4	3
5	3

What fraction of the dogs score less than 1?

[2]

We asked a group of boys how many Strawberries they eat in a month. Here are the results:

boys
5		1	2
0	1	2	3
Strawberries

What fraction of the boys eat exactly 0 Strawberries in a month?

[2]

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

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

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

[2]

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

kids
5	4	2	5
0	1	2	3
Sandwiches

What is the probability of the kids to eat exactly 1 Sandwiches in a day?

[2]

A bag has 10 red balls and 6 blue balls. You take out 1 blue ball, then another ball.
What is the probability of getting blue for the second ball?

[1]

Flip a coin 16 times.
Each time a Tail comes up you win $3. It costs $24 to play (paid once). How much money would you expect to make altogether?

[1]

There are 60 balls in a bag. This is is the probability distribution of their color:


0.8	0.2
red	purple
Color

How many red balls were in the bag?

[1]

There are 30 balls in a bag. This is is the probability distribution of their color:


0.8	0.2
orange	pink
Color

How many pink balls were in the bag?

[1]