Probability Powerplay
Level 6, 2026-02-05
A group of people were timed running 100m. Here are the results:
people

Time131
141
15
165
176

What fraction of the people run 100m in exactly 17s?
[2]
Roll 138 6-sided dice.
How many times would you expect to get anything except 1?
[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:


0.10.050.10.20.55
12345
Number

What is the probability of rolling a 3?
[1]
There are 90 balls in a bag. This is is the probability distribution of their color:


0.20.40.4
yellowpurpleblue
Color

If you choose a random ball from the bag, what is the probability of it being blue or purple?
[1]
A group of boys did a math test and here are their scores out of 5:
boys

Score01
14
2
3
4
52

What is the probability of the boys to score exactly 0?
[2]
Roll 114 6-sided dice.
How many times would you expect to get an odd number?
[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:


0.10.10.150.65
12345
Number

What is the probability of rolling a number that is bigger than 4 and smaller than 2?
[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:


0.60.10.150.15
12345
Number

What is the probability of rolling a 1?
[1]
The weather forecast says that the chances of rain are 40%. Your chance of being outside today is 40%. You flip a coin to decide whether to take your umbrella.
What is the probability of getting wet today?
[1]
Cars go by on a road, each is a different color and type.

Probability of Color

0.90.1
bluepurple
Color

Probability of Type

0.90.1
sedanwagon
Type

What is the probability of a car being a purple sedan?
[2]
A group of boys did a math test and here are their scores out of 5:
Scoreboys
06
15
26
34
45
52

What fraction of the boys score less than 5?
[2]
There are 60 balls in a bag. This is is the probability distribution of their color:


0.70.3
greenpurpleorange
Color

If you choose a random ball from the bag, what is the probability of it not being purple?
[1]
There are 20 balls in a bag. This is is the probability distribution of their color:


0.50.30.2
pinkgreenblue
Color

If you choose a random ball from the bag, what is the probability of it being blue or pink?
[1]
A wheel has 6 orange sections and 7 green sections.
What is the probability of getting orange?
[1]
Flip 3 coins.
What is the probability of getting 3 heads?
[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:


0.50.050.20.25
12345
Number

What is the probability of rolling a number that is bigger than 2?
[1]