Probability Powerplay
Level 6, 2026-05-10
A group of humans did a math test and here are their scores out of 5:
humans

Score04
1
2
3
41
52

What is the probability of the humans to score exactly 0?
[2]
A bag has 2 balls with numbers from 4 to 5. You take out 1 ball.
What is the probability of NOT getting the ball with the number 6?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.40.20.4
orangeyellowgreen
Color

If you choose a random ball from the bag, what is the probability of it being yellow?
[1]
A bag has 3 balls with number 6 and 3 balls with a number 9. What will be the average of the numbers of the balls taken out of the bag
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

1
purpleorange
Color

Probability of Type

0.20.8
sedanwagon
Type

What is the probability of a car being a orange sedan?
[2]
A group of girls did a math test and here are their scores out of 5:
girls

56356
012345
Score

What is the probability of the girls to score more than 5?
[2]
A wheel has 4 pink sections and 7 green sections.
What is the probability of getting pink?
[1]
A bag has 8 red balls, 3 blue balls and 5 yellow balls. You take out a red ball, then a yellow ball, then another ball.
What is the probability of getting red for the last ball?
[1]
Roll 120 6-sided dice.
How many times would you expect to get less than or equal to 4?
[1]
A group of humans were timed running 100m. Here are the results:
humans

3336
1314151617
Time

What fraction of the humans run 100m in exactly 16s?
[2]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.750.25
greenpurple
Color

How many green balls were in the bag?
[1]
A bag has 5 balls with numbers from 4 to 8. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 7?
[1]
You shoot an arrow at a target. There is a 90% chance of scoring a 30 and a 10% 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 40%. Your chance of being outside today is 60%. You flip a coin to decide whether to take your umbrella.
What is the probability of getting wet today?
[1]
There are 70 balls in a bag. This is is the probability distribution of their color:


0.40.40.2
purpleredgreen
Color

If you choose a random ball from the bag, what is the probability of it being green?
[1]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.80.2
redorangegreen
Color

How many orange balls were in the bag?
[1]