Exploring Two Way Tables and Conditional Probability

The video tutorial covers conditional probability, starting with basic probability questions involving stockings, family photos, and passwords. It then delves into conditional probability using Venn diagrams and two-way tables, with examples involving marbles, student transportation, and ice cream shop customer preferences. The tutorial explains how to calculate probabilities using formulas and visual aids, emphasizing the importance of understanding conditions and sample spaces.

How many different stockings can be created with 3 colors, 8 thread colors, and 5 fonts?

• 120

• 15

• 24

• 40

How many ways can the Von Trapp children be arranged for a photo?

• 120

• 5040

• 720

• 360

How many possible passwords can be created using 26 letters and 10 digits, with a length of 5 characters?

• Over 60 million

• 100 thousand

• 1 million

• 500 thousand

What is the probability of drawing a brown marble second if the first drawn was blue?

• 1/3

• 3/8

• 2/7

• 1/4

In a classroom, if 70% have brown hair and 5% have both brown hair and eyes, what's the probability of brown eyes given brown hair?

• 7.14%

• 5%

• 70%

• 12.5%

What is the probability of a student having brown eyes given they have brown hair, based on the given percentages?

• 7.14%

• 10%

• 25%

• 5%

What is the probability that a student walks to school if they are in 9th or 10th grade?

• 1/5

• 1/7

• 1/10

• 1/9

If a student is randomly selected, what is the probability they rode the bus or are in 11th or 12th grade?

• 65%

• 75%

• 85%

• 79.2%

What is the probability that a customer likes vanilla given they are an adult?

• 55.91%

• 60%

• 50%

• 45%

What is the probability of liking pop music given liking country music, based on the Venn diagram?

• 60%

• 55%

• 50%

• 48.89%