Probability Powerplay
Level 6, 2026-08-20
A bag has 9 red balls, 4 blue balls and 7 yellow balls. You take out a yellow ball, then a yellow ball, then another ball.
What is the probability of getting red 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:


0.80.050.15
12345
Number

What is the probability of rolling a 2?
[1]
A bag has 8 red balls and 4 blue balls. You take out a blue ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
A group of girls were timed running 100m. Here are the results:
girls

424
1314151617
Time

What fraction of the girls run 100m in exactly 14s?
[2]
Roll 54 6-sided dice.
How many times would you expect to get less than or equal to 4?
[1]
The weather forecast says that the chances of rain are 90%. Your chance of being outside today is 50%. The chance of remembering your umbrella is 40%.
What is the probability of getting wet today?
[1]
A group of dogs did a math test and here are their scores out of 5:
dogs

Score05
11
2
36
4
55

What is the probability of the dogs to score less than 0?
[2]
You shoot an arrow at a target. There is a 40% chance of scoring a 20 and a 30% chance of scoring a 30 and a 30% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
A group of girls were timed running 100m. Here are the results:
girls

Time135
145
156
162
173

What is the probability of the girls to run 100m in exactly 17s?
[2]
A bag has 8 balls with numbers from 5 to 12. You take out 1 ball.
What is the probability of NOT getting a ball with a number more than 7?
[1]
Roll 150 6-sided dice.
How many times would you expect to get less than 1?
[1]
Roll 126 6-sided dice.
How many times would you expect to get less than 4?
[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:


0.40.050.150.250.15
12345
Number

What is the probability of rolling a number that is smaller than 4?
[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
wagonsedan
Type

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


0.10.050.250.6
12345
Number

What is the probability of rolling a number from 4 to 5?
[1]
You flip a coin and roll a 4 sided die.
What is the probability of getting a 2 and a head?
[1]