Exploring Probability and the Pythagorean Theorem

What is the probability of flipping a coin and getting heads?

• 1/2

• 1/3

• 1/4

• 2/3

What does it mean if two events are mutually exclusive?

• They have no possible outcomes.

• They cannot occur at the same time.

• They can occur at the same time.

• They are dependent on each other.

How do you calculate the probability of two independent events occurring together?

• Add their probabilities

• Multiply their probabilities

• Subtract their probabilities

• Divide their probabilities

What is the probability of drawing a red card from a standard deck and then rolling a six on a fair die?

• 1/26

• 1/10

• 1/13

• 1/52

What is the formula for the Pythagorean theorem?

• a^2 / b^2 = c^2

• a^2 + b^2 = c^2

• a^2 * b^2 = c^2

• a^2 - b^2 = c^2

In a right triangle, if one leg is 3 units and the hypotenuse is 5 units, what is the length of the other leg?

• 5 units

• 3 units

• 4 units

• 6 units

How does shortening the distance between the ladder base and the shed affect the ladder's height?

• Increases the height

• Doubles the height

• Decreases the height

• Does not affect the height

Using the Pythagorean theorem, what is the length of the hypotenuse if the legs measure 6 units and 8 units?

• 14 units

• 16 units

• 12 units

• 10 units

What is the perimeter of a triangle with sides measuring 30 ft, 40 ft, and 50 ft?

• 100 ft

• 90 ft

• 130 ft

• 120 ft

If the cost of fencing is $510 for 2 yards, how much would it cost to fence a perimeter of 40 yards?

• $4080

• $2040

• $5100

• $10200