Probability Powerplay
Level 6, 2026-09-24
There are 100 balls in a bag. This is is the probability distribution of their color:


0.30.40.3
greenredblue
Color

If you choose a random ball from the bag, what is the probability of it not being blue or green?
[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:


0.050.250.7
12345
Number

What is the probability of rolling a number that is bigger than 1 or smaller than 5?
[1]
A bag has 7 red balls and 7 blue balls. You take out a blue ball, then a blue ball, then another ball.
What is the probability of getting red for the last ball?
[1]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.30.40.3
redgreenyellow
Color

If you choose a random ball from the bag, what is the probability of it not being green?
[1]
We asked a group of boys how many Burgers they eat in a month. Here are the results:
boys

Burgers06
14
2
36

What fraction of the boys eat less than 3 Burgers in a month?
[2]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number equal to 3 and a head?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number more than 4 and a tail?
[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:


0.850.10.05
12345
Number

What is the probability of rolling a number that is bigger than or equal to 4?
[1]
Roll 6 6-sided dice.
How many times would you expect to get less than or equal to 6?
[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:


0.60.050.050.250.05
12345
Number

What is the probability of rolling a number that is bigger than 2 or smaller than 5?
[1]
A group of girls were timed running 100m. Here are the results:
girls

3616
1314151617
Time

What fraction of the girls run 100m in less than 15s?
[2]
Roll 18 6-sided dice.
How many times would you expect to get less than or equal to 5?
[1]
You roll a 6 sided die and a 3 sided die.
What is the probability of getting 2 on both dice?
[1]
Roll 72 6-sided dice.
How many times would you expect to get an even number?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.10.9
orangepink
Color

Probability of Type

0.30.7
wagonsedan
Type

What is the probability of a car being a orange sedan?
[2]
A group of girls were timed running 100m. Here are the results:
Timegirls
130
140
151
163
174

What is the probability of the girls to run 100m in less than 14s?
[2]