Probability of Marble Selection

This video tutorial explains how to use tree diagrams to solve various probability problems. It covers scenarios with and without replacement, demonstrating how to calculate probabilities for different outcomes. The tutorial also explores advanced probability scenarios and applies these concepts to real-world contexts, providing a comprehensive understanding of probability using tree diagrams.

What is the probability of selecting two blue marbles from a bag containing 8 red and 12 blue marbles with replacement?

• 0.64

• 0.36

• 0.48

• 0.16

How do you calculate the probability of selecting at least one red marble?

• Divide the probability of selecting a red marble by the total outcomes

• Add the probabilities of all outcomes with at least one red marble

• Subtract the probability of selecting two blue marbles from 1

• Multiply the probabilities of selecting red marbles

What is the probability of selecting a red marble first and then a blue marble from a bag of 8 red and 12 blue marbles with replacement?

• 0.64

• 0.48

• 0.36

• 0.24

In a scenario without replacement, what is the probability of selecting two red marbles from a bag of 5 red and 10 blue marbles?

• 0.15

• 0.30

• 0.25

• 0.095

What is the probability of selecting a red and a blue marble in any order from a bag of 5 red and 10 blue marbles without replacement?

• 0.524

• 0.286

• 0.476

• 0.190

When selecting three marbles with replacement, what is the probability of getting at least one red marble from a bag of 3 blue and 7 red marbles?

• 0.750

• 0.500

• 0.027

• 0.973

What is the probability of selecting exactly two blue marbles when selecting three marbles with replacement from a bag of 3 blue and 7 red marbles?

• 0.250

• 0.500

• 0.300

• 0.189

What is the probability of selecting no red marbles when selecting three marbles with replacement from a bag of 3 blue and 7 red marbles?

• 0.500

• 0.750

• 0.973

• 0.027

In a neighborhood with 5000 cars, what is the probability of randomly selecting a black sedan if 40% of the cars are black and 75% of those are sedans?

• 0.50

• 0.25

• 0.40

• 0.30

How many white SUVs are there in a neighborhood with 5000 cars, where 60% are white and 20% of those are SUVs?

• 800

• 1000

• 1200

• 600