Question

A shape is picked at random from the group below. Which event has a theoretical probability of exactly 3/4? Check all that apply .

• not picking a square
• picking a square
• picking a triangle
• picking a shape that has only straight edges
• not picking a circle

Answer 1

Answer:

Theoretical probability is a method to express that something will occur. It is calculated by dividing the number of favorable outcomes by the total number of outcomes.

So, the correct answers are :

A. not picking a square

D. picking a shape that has only straight edges

E. not picking a circle

Answer 2

Answer:

Not picking a square.

Not picking a circle.

Step-by-step explanation:

According to the image, there are 2 squares, 4 triangles and 2 circles. Let's find the probability of each figure:

$P_{square}=\frac{2}{8}=\frac{1}{4} \\P_{triangle}=\frac{4}{8}=\frac{1}{2} \\P_{circles}=\frac{2}{8}=\frac{1}{4}$

However, neither of this have a probability of 3/4.

That means the opposite events are probably the ones.

$P_{not \ square}=\frac{6}{8}=\frac{3}{4} \\P_{not \ triangle}=\frac{4}{8}=\frac{1}{2} \\P_{not \ circles}=\frac{6}{8}=\frac{3}{4}$

Therefore, not picking a square and not picking a circle have probability of 3/4 exactly.