Probability and M&M Color Distribution

The video tutorial explains the probability distribution of M&M colors, focusing on peanut M&Ms. It covers the multinomial and binomial probability distributions, providing examples of calculating probabilities for selecting red M&Ms from a large bag. The tutorial demonstrates how to compute probabilities for different scenarios, such as exactly three red M&Ms, two or three red M&Ms, at most three red M&Ms, and at least three red M&Ms, using appropriate probability formulas.

What percentage of peanut M&Ms are blue according to the study?

• 12%

• 15%

• 23%

• 20%

Which probability distribution is used when there are only two outcomes?

• Multinomial

• Binomial

• Normal

• Poisson

Which formula is used to calculate the probability of multiple colors of M&Ms?

• Normal distribution formula

• Multinomial probability formula

• Binomial probability formula

• Poisson distribution formula

What is the probability that exactly three out of four M&Ms are red?

• 0.0730

• 0.0061

• 0.0063

• 0.9998

How do you calculate the probability of two red and two not red M&Ms?

• Using four choose one

• Using four choose four

• Using four choose two

• Using four choose three

What is the probability that two or three of the four M&Ms are red?

• 0.0063

• 0.9998

• 0.0730

• 0.0061

What does 'at most three red M&Ms' mean in terms of probability?

• Zero, one, two, or three red M&Ms

• Only three red M&Ms

• At least three red M&Ms

• Exactly four red M&Ms

How is the probability of at most three red M&Ms calculated?

• By subtracting the probability of four red M&Ms from one

• By adding probabilities of zero to three red M&Ms

• By multiplying probabilities of zero to three red M&Ms

• By using the multinomial formula

What is the probability of at least three red M&Ms?

• 0.0063

• 0.9998

• 0.0730

• 0.0061

What is the probability of four red M&Ms?

• 0.0061

• 0.0730

• 0.9998

• 0.0063