Set Operations
With the given set find Find A U B (union of A and B).
A U B = {1,2,3,4,5,6}
A garden is in the shape of a rectangle with a length of 10 meters and a width of 5 meters. Calculate the perimeter of the garden.
The perimeter of the garden is 30 meters.
What is the probability of getting heads in a single toss of a fair coin?
The probability of getting heads in a single coin toss is 50%.
With the given set Find A∩B (intersection of A and B)
A∩B={3,4}
A triangular park has sides of lengths 8 meters, 6 meters, and 5 meters. Find the perimeter of the park.
The perimeter of the park is 19 meters.
In a lottery, there are 1000 tickets sold, and only one ticket wins the grand prize. What is the probability of winning the grand prize if you buy one ticket?
The probability of winning the grand prize with one ticket is 0.1%.
With the given set find A - B (the difference of A and B)
A - B = {1,2}
A rectangular plot of land measures 50 meters by 30 meters. A pathway of 2 meters wide is to be constructed inside the plot, along its perimeter. What is the total length of the pathway?
The total length of the pathway is 160 meters.
Suppose you have a standard deck of 52 playing cards. What is the probability of drawing an Ace from the deck?
The probability of drawing an Ace from a standard deck of cards is approximately 7.69%.
With the given set find B - A ( the difference of B and A).
B - A = {5,6}
An irregular plot of land has the following sides: 10 meters, 15 meters, 20 meters, and 25 meters. Calculate the perimeter.
The perimeter of the irregular plot is 70 meters.
Suppose you have a set of 10 linear equations, but only 3 of them have solutions in the range x=[1,10]. If you randomly select one equation from this set, what is the probability that the equation you select has a solution within the range x=[1,10]?
The probability of selecting an equation that has a solution within the range x=[1,10] is 0.3 or 30%.
What is the universal set for the set below?
{ 1,2,3,4,5,6}
A circular pond has a radius of 7 meters. Calculate the perimeter (circumference) of the pond.
The circumference of the pond is approximately 44 meters.
A class has 20 students, and 8 of them are girls. The teacher randomly selects 5 students to form a group for a project. What is the probability that exactly 3 of the selected students are girls?
The probability that exactly 3 of the 5 selected students are girls is approximately 23.83%.