Probability Powerplay
Level 6, 2026-04-23
A bag has 2 red balls and 5 blue balls. You take out 1 blue ball, then another ball.
What is the probability of getting blue for the second ball?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.40.30.3
pinkorangered
Color

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


0.050.250.10.6
12345
Number

What is the probability of rolling 3 or 4?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.50.5
orangeyellow
Color

Probability of Type

1
wagonsedan
Type

What is the probability of a car being a yellow sedan?
[2]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.20.8
orangepink
Color

How many orange balls were in the bag?
[1]
Roll 126 6-sided dice.
How many times would you expect to get anything except 3?
[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:


0.250.050.250.45
12345
Number

What is the probability of rolling 2 or 4?
[1]
A group of girls were timed running 100m. Here are the results:
girls

Time131
143
154
166
17

What fraction of the girls run 100m in more than 13s?
[2]
A bag has 2 balls with number 6 and 2 balls with a number 7. You take out 1 ball.
What is the probability of getting the ball with the number 7?
[1]
You shoot an arrow at a target. You will either score 10 (30% chance), 30 (20% chance), or 60. What average score do you expect to get if you do this many times?
[1]
A bag has 10 red balls, 7 blue balls and 3 yellow balls. You take out a blue ball, then a blue ball, then another ball.
What is the probability of getting blue for the last ball?
[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:


0.850.15
12345
Number

What is the probability of rolling a number that is smaller than or equal to 1?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

46365
012345
Score

What fraction of the dogs score more than 2?
[2]
We asked a group of kids how many Pizzas they eat in a week. Here are the results:
Pizzaskids
03
16
22
35

What fraction of the kids eat exactly 1 Pizzas in a week?
[2]
Roll 48 6-sided dice.
How many times would you expect to get more than or equal to 2?
[1]
Roll 66 6-sided dice.
How many times would you expect to get more than or equal to 3?
[1]