Question

A point is randomly chosen in the triangle shown below . Which statement is true about the likehood of the location of the point in the triangle ?

A.) The point is likely to be in the blue region .
B.) The point is likely to be inside the square .
C.) The point is unlikely to be inside of the triangle .
D.) The point is certain to be outside the square

Answer 1

Answer:

Option: A is the correct answer.

                 A.) The point is likely to be in the blue region.

Step-by-step explanation:

As we could see in the figure that the area of the blue region is more than the area of the unshaded region.

Hence, the chance or the probability that a randomly chosen point is likely to be located in the blue region is more than the other region.

( Since the probability that a point will lie in the blue region is calculated by the formula:

$Probability=\dfrac{Area\ of\ blue\ region}{Total\ area\ of\ the\ triangle}$    )

                       Hence, the answer is:

                             Option: A

Answer 2

Answer:

A.) The point is likely to be in the blue region .

Step-by-step explanation:

The statement which is true about the likelihood of the location of the point in the triangle is statement A : The point is likely to be in the blue region.

This is because as you can see the image, the blue area is the maximum as compared to the white area. We can assume that the blue area is around 75 percent of the total figure. So, it is a fact that if you have more area to choose from, the probability for that area increases.

The likelihood of the white portion to inhibit a point is very less as compared to the blue area.

This is why, option A is the correct one.