Exploring Compound Probability and Independent Events

The video tutorial covers the calculation of compound probabilities of independent events. It begins with an example involving selecting a letter from the word 'math' and flipping a coin, demonstrating how to calculate the probability of getting a vowel and landing on tails. The tutorial then moves to a sock drawer example, explaining how to determine the probability of selecting different colored socks. Finally, it explores probabilities involving a coin toss and a die roll, including outcomes like getting heads and rolling a four, or getting tails and an odd number.

What is the probability of selecting a vowel from 'math' and flipping a coin to get tails?

• 1/16

• 1/2

• 1/4

• 1/8

If a sock drawer has 20 socks, what's the probability of picking a green sock first and then a blue sock?

• 1/10

• 1/8

• 1/4

• 1/20

After replacing a green sock, what's the probability of picking another green sock from the drawer?

• 8/20

• 4/25

• 1/5

• 1/10

What is the probability of picking a purple sock, replacing it, and then picking another purple sock?

• 3/20

• 9/400

• 1/40

• 1/25

What is the probability of flipping a coin to get heads and rolling a die to get the number 4?

• 1/8

• 1/6

• 1/24

• 1/12

What is the probability of getting tails on a coin flip and an odd number on a die roll?

• 1/4

• 1/2

• 3/12

• 1/6

What is the chance of flipping a coin to get heads and rolling a die to get a prime number?

• 3/6

• 1/6

• 1/2

• 1/4