Probability Powerplay
Level 6, 2026-06-05
Cars go by on a road, each is a different color and type.

Probability of Color

0.30.7
redpurple
Color

Probability of Type

0.80.2
wagonsedan
Type

What is the probability of a car being a purple wagon?
[2]
A bag has 11 balls with numbers from 1 to 11. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 6?
[1]
A bag has 5 balls with numbers from 3 to 7. You take out 1 ball.
What is the probability of NOT getting a ball with a number less than 5?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.20.40.4
pinkbluered
Color

If you choose a random ball from the bag, what is the probability of it not being blue or pink?
[1]
A bag has 3 balls with number 8 and 3 balls with a number 5. You take out 1 ball.
What is the probability of getting the ball with the number 5?
[1]
You shoot an arrow at a target. You will either score 20 (40% chance), 30 (20% chance), or 50. What average score do you expect to get if you do this many times?
[1]
The chances of feeling like icecream are 50%. The chances of being near an icecream store are 90%. There is a 30% chance that you lost all your money.
What is the probability of having icecream?
[1]
A group of kids did a math test and here are their scores out of 5:
kids

Score06
16
21
34
4
55

What is the probability of the kids to score less than 2?
[2]
A bag has 8 red balls and 2 blue balls. You take out a blue ball, then a red 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:


0.10.9
12345
Number

What is the probability of rolling a number that is smaller than 3?
[1]
Flip a coin 14 times.
How many times would you expect to get Tails?
[1]
We asked a group of dogs how many Popsicles they eat in a day. Here are the results:
dogs

1625
0123
Popsicles

What fraction of the dogs eat exactly 1 Popsicles in a day?
[2]
Roll 42 6-sided dice.
How many times would you expect to get anything except 5?
[1]
A group of humans were timed running 100m. Here are the results:
humans

53222
1314151617
Time

What is the probability of the humans to run 100m in exactly 17s?
[2]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.60.4
pinkyellowgreen
Color

How many pink balls were in the bag?
[1]
A bag has 4 balls with numbers from 4 to 7. You take out 1 ball.
What is the probability of NOT getting the ball with the number 5?
[1]