Probability Powerplay
Level 6, 2025-12-11
There are 10 balls in a bag. This is is the probability distribution of their color:


0.60.4
yellowpurplepink
Color

How many purple balls were in the bag?
[1]
A bag has 2 red balls and 4 blue balls. You take out a red ball, then a blue ball, then another ball.
What is the probability of getting red for the last ball?
[1]
There are 40 balls in a bag. This is is the probability distribution of their color:


0.40.30.3
yelloworangepink
Color

How many yellow balls were in the bag?
[1]
A bag has 10 red balls, 8 blue balls and 4 yellow balls. You take out a red ball, then a yellow ball, then another ball.
What is the probability of getting blue for the last ball?
[1]
A group of girls were timed running 100m. Here are the results:
Timegirls
136
142
151
165
173

What is the probability of the girls to run 100m in exactly 14s?
[2]
A bag has 8 balls with number 5 and 6 balls with a number 9. What will be the average of the numbers of the balls taken out of the bag
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
yellowpurple
Color

Probability of Type

0.80.2
wagonsedan
Type

What is the probability of a car being a yellow wagon?
[2]
A bag has 9 balls with number 1 and 7 balls with a number 4. You take out 1 ball.
What is the probability of getting the ball with the number 4?
[1]
A group of humans did a math test and here are their scores out of 5:
humans

Score05
13
2
33
44
54

What fraction of the humans score more than 3?
[2]
We asked a group of humans how many Strawberries they eat in a day. Here are the results:
humans

Strawberries03
16
21
3

What fraction of the humans eat more than 2 Strawberries in a day?
[2]
A group of dogs were timed running 100m. Here are the results:
Timedogs
131
141
154
162
173

What is the probability of the dogs to run 100m in exactly 16s?
[2]
There are 30 balls in a bag. This is is the probability distribution of their color:


0.40.30.3
greenpurpleblue
Color

If you choose a random ball from the bag, what is the probability of it not being blue or purple?
[1]
There are 80 balls in a bag. This is is the probability distribution of their color:


0.40.10.5
orangepinkred
Color

If you choose a random ball from the bag, what is the probability of it being orange or pink?
[1]
An obstacle course has 2 Fences and 1 Ditches. You have a 100% chance of clearing a Fence and a 80% chance of clearing a Ditch.
What is the probability of having a perfect run (clearing everything)?
[1]
Flip 7 coins.
What is the probability of getting 7 tails?
[1]