Probability of Getting Three Heads in Five Coin Flips

The video tutorial explores the probability of getting exactly three heads when flipping a fair coin five times. It begins by calculating the total number of possible outcomes, which is 32. The tutorial then focuses on counting the specific outcomes that result in exactly three heads, using a method that involves arranging the heads in different positions. Finally, it calculates the probability of this event, which is found to be 10 out of 32, or 5/16.

What is the main objective of the video tutorial?

• To explore different types of coins

• To understand the concept of fair coins

• To calculate the probability of getting exactly three heads in five flips

• To learn how to flip a coin

How many total possible outcomes are there when flipping a coin five times?

• 32

• 16

• 128

• 64

What mathematical operation is used to calculate the total number of outcomes for five coin flips?

• Subtraction

• Addition

• Division

• Multiplication

How many different ways can you arrange three heads in five flips if order matters?

• 120

• 60

• 20

• 10

Tags

CCSS.HSS.CP.B.9

Why do we need to divide by the number of ways to arrange three heads?

• To increase the number of possibilities

• To reduce the number of flips

• To account for overcounting different arrangements

• To make the calculation easier

What is the factorial of 3, which is used to adjust for overcounting?

• 12

• 9

• 6

• 3

What is the final number of favorable outcomes for getting exactly three heads?

• 20

• 10

• 5

• 15

What is the probability of getting exactly three heads in five flips?

• 3/8

• 1/4

• 1/2

• 5/16

How many equally likely possibilities are there in total?

• 16

• 32

• 48

• 64

What is the significance of dividing by 3 factorial in the calculation?

• It increases the number of favorable outcomes

• It simplifies the probability

• It adjusts for overcounting arrangements of heads

• It helps in finding the total outcomes