Probability Calculations

The video tutorial covers the basics of probability, including calculations with coins and dice. It explains combinations and permutations, detailing how to calculate them and their applications. The tutorial provides examples and formulas for understanding these concepts in practical scenarios.

What is the probability of getting heads when flipping a fair coin?

• 1

• 1/3

• 1/2

• 1/4

How many ways can you roll a sum of 7 with two six-sided dice?

• 6

• 5

• 4

• 3

If you have 5 pizza toppings and can choose 3, how many combinations are possible?

• 20

• 5

• 10

• 60

What is the formula for calculating combinations?

• nPr = r! / (n-r)!

• nCr = r! / (n!(n-r)!)

• nCr = n! / (r!(n-r)!)

• nPr = n! / (n-r)!

In permutations, what does it mean when repetition is allowed?

• Items can be repeated

• Only two items can be used

• Each item can be used only once

• Order does not matter

How many four-digit ATM PINs are possible if digits can be repeated?

• 10,000

• 20,000

• 5,040

• 1,000

What is the total number of possible four-digit PINs with no repeated digits?

• 1,000

• 20,000

• 5,040

• 10,000