Probability Powerplay
Level 6, 2026-01-18
A group of people did a math test and here are their scores out of 5:
people

Score03
11
2
3
41
56

What is the probability of the people to score less than 3?
[2]
A bag has 4 balls with number 6 and 2 balls with a number 6. You take out 1 ball.
What is the probability of getting the ball with the number 6?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 50% chance of clearing a Fence and a 90% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[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:


0.050.10.85
12345
Number

What is the probability of rolling a number that is bigger than 4?
[1]
A bag has 2 balls with numbers from 4 to 5. You take out 1 ball.
What is the probability of getting a ball with an even number?
[1]
You roll a 9 sided die and a 4 sided die.
What is the probability of getting 5 on both dice?
[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:


0.250.250.250.050.2
12345
Number

What is the probability of rolling a number that is smaller than or equal to 4?
[1]
A bag has 2 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 blue for the last ball?
[1]
A bag has 5 red balls, 6 blue balls and 4 yellow balls. You take out a yellow ball, then a red ball, then another ball.
What is the probability of getting red for the last ball?
[1]
A group of girls did a math test and here are their scores out of 5:
girls

Score0
12
26
33
43
55

What fraction of the girls score less than 2?
[2]
There are 50 balls in a bag. This is is the probability distribution of their color:


0.20.8
pinkorangered
Color

If you choose a random ball from the bag, what is the probability of it being pink or red?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a number more than 6 and a head?
[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:


0.050.95
12345
Number

What is the probability of rolling a number that is smaller than or equal to 1?
[1]
You roll a 3 sided die and a 8 sided die.
What is the probability of getting 4 on both dice?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
pinkred
Color

Probability of Type

0.70.3
sedanwagon
Type

What is the probability of a car being a pink sedan?
[2]
You shoot an arrow at a target. There is a 20% chance of scoring a 10 and a 20% chance of scoring a 40 and a 60% chance of scoring a 50. What average score do you expect to get if you do this many times?
[1]
You flip a coin and roll a 6 sided die.
What is the probability of getting a 3 or a 5 and a head or a tail?
[1]