Probability Powerplay
Level 6, 2026-08-30
A bag has 2 balls with number 7 and 5 balls with a number 4. What will be the average of the numbers of the balls taken out of the bag
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.30.40.3
orangepurplepink
Color

How many pink balls were in 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:


0.050.150.20.6
12345
Number

What is the probability of rolling a number from 4 to 5?
[1]
Roll 2 6-sided dice.
What is the probability of getting 2 numbers that are even?
[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:


0.450.250.050.25
12345
Number

What is the probability of rolling a number that is bigger than 3?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.80.2
purpleorange
Color

Probability of Type

0.30.7
sedanwagon
Type

What is the probability of a car being a purple wagon?
[2]
A bag has 5 red balls and 10 blue balls. You take out a red ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.10.9
pinkyellow
Color

Probability of Type

0.40.6
sedanwagon
Type

What is the probability of a car being a yellow sedan?
[2]
Flip a coin 2 times.
Each time a head comes up you win $3 and with each tail you lose $3. It costs $2 to play (paid once). How much money would you expect to make altogether?
[1]
You shoot an arrow at a target. There is a 60% chance of scoring a 20, a 30% chance of scoring a 40, or you might miss completely and score 0. What average score do you expect to get if you do this many times?
[1]
Roll 30 6-sided dice.
How many times would you expect to get less than or equal to 4?
[1]
We asked a group of boys how many Oranges they eat in a week. Here are the results:
boys

153
0123
Oranges

What fraction of the boys eat less than 4 Oranges in a week?
[2]
A group of dogs were timed running 100m. Here are the results:
dogs

32455
1314151617
Time

What fraction of the dogs run 100m in less than 17s?
[2]
A bag has 6 red balls, 6 green balls and 8 blue balls. You take out 1 ball.
What is the probability of getting a green ball or a blue ball?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
redorange
Color

Probability of Type

0.20.8
wagonsedan
Type

What is the probability of a car being a orange wagon?
[2]