Answer:
The total area between the squares is of 24 units squared.
Step-by-step explanation:
Area of a square:
The area of a square of side length l is given by:
Area between figures:
The area between two figures is the area of the larger figure subtracted by the area of the smaller figure.
Larger square:
Square with side of length 7. So
Smaller square:
Square with side of length 5. So
What is the total area between the squares?
The total area between the squares is of 24 units squared.
You can extract two balls of the same colour in two different way: either you pick two black balls or two red balls. Let's write the probabilities of each pick in each case.
Case 1: two black balls
The probability of picking the first black ball is 2/5, because there are two black balls, and 5 balls in total in the urn.
The probability of picking the second black ball is 1/4, because there is one black ball remaining in the urn, and 4 balls in total (we just picked the other black one!)
So, the probability of picking two black balls is
Case 2: two red balls
The probability of picking the first black ball is 3/5, because there are three red balls, and 5 balls in total in the urn.
The probability of picking the second red ball is 2/4=1/2, because there are two red balls remaining in the urn, and 4 balls in total (we just picked the other red one!)
So, the probability of picking two red balls is
Finally, the probability of picking two balls of the same colour is