Probability Powerplay
Level 6, 2026-11-13
A group of kids did a math test and here are their scores out of 5:
kids

326266
012345
Score

What is the probability of the kids to score exactly 2?
[2]
The weather forecast says that the chances of rain are 30%. Your chance of being outside today is 90%. You flip a coin to decide whether to take your umbrella.
What is the probability of getting wet today?
[1]
Roll 102 6-sided dice.
How many times would you expect to get more than 1?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.30.7
purpleyellowpink
Color

If you choose a random ball from the bag, what is the probability of it being yellow?
[1]
A bag has 4 red balls, 4 blue balls and 8 yellow balls. You take out a yellow ball, then a yellow ball, then another ball.
What is the probability of getting yellow for the last ball?
[1]
Roll 90 6-sided dice.
How many times would you expect to get less than 6?
[1]
A bag has 5 balls with number 9 and 6 balls with a number 7. What will be the average of the numbers of the balls taken out of the bag
[1]
A group of boys were timed running 100m. Here are the results:
Timeboys
132
140
151
166
170

What fraction of the boys run 100m in exactly 15s?
[2]
We asked a group of girls how many Burgers they eat in a week. Here are the results:
Burgersgirls
03
12
24
30

What is the probability of the girls to eat more than 4 Burgers in a week?
[2]
The weather forecast says that the chances of rain are 90%. Your chance of being outside today is 80%. The chance of remembering your umbrella is 70%.
What is the probability of getting wet today?
[1]
A bag has 8 red balls and 8 blue balls. You take out 1 red ball, then another ball.
What is the probability of getting blue for the second 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:


0.50.20.050.25
12345
Number

What is the probability of rolling a number that is bigger than 3 and smaller than 1?
[1]
We asked a group of girls how many Icecreams they eat in a week. Here are the results:
Icecreamsgirls
06
13
25
31

What fraction of the girls eat more than 4 Icecreams in a week?
[2]
A group of dogs were timed running 100m. Here are the results:
dogs

Time132
14
15
164
174

What fraction of the dogs run 100m in more than 17s?
[2]
A wheel has 9 sections, each a number on it from 1 to 9. If you spin an even number you win that amount of dollars, if you spin an odd number you lose.
What prize do we expect to get if we spin the wheel?
[1]