Simple Discrete Distributions and Example Questions

The video tutorial covers simple discrete distributions, focusing on discrete uniform and geometric distributions. It begins with an introduction to discrete random variables, using a 10-sided die as an example. The tutorial then explains the discrete uniform distribution, calculating probabilities for prime numbers. It moves on to probability calculations with coin flips, demonstrating how to find the probability of getting at least one head. Finally, the geometric distribution is explored through a card game scenario, illustrating how to calculate the probability of winning within a certain number of turns.

What is the probability of rolling a prime number on a 10-sided die?

• 0.3

• 0.4

• 0.5

• 0.2

In a discrete uniform distribution, what is the probability of each outcome?

• 0.15

• 0.1

• 0.2

• 0.05

How many heads can you get when flipping three fair coins?

• Only 1 or 3

• 1, 2, or 3

• 0, 1, 2, or 3

• 0, 1, or 2

What is the probability of getting exactly two heads when flipping three coins?

• 1/8

• 4/8

• 2/8

• 3/8

What is the probability of getting at least one head when flipping three coins?

• 7/8

• 6/8

• 5/8

• 8/8

What is the probability of drawing a heart from a standard deck of cards?

• 1/4

• 1/5

• 1/3

• 1/2

How is the probability of winning on the second turn calculated in the card game?

• 1/4 * 1/4

• 3/4 * 3/4

• 3/4 * 1/4

• 1/4

What is the name of the distribution used to model the number of turns to win in the card game?

• Geometric Distribution

• Normal Distribution

• Poisson Distribution

• Binomial Distribution

What is the probability that Charlie wins before her opponent if her opponent wins after the fourth move?

• 180/256

• 175/256

• 185/256

• 190/256

What is the probability of not drawing a heart four times in a row?

• (3/4)^4

• (1/4)^4

• (1/4)^3

• (3/4)^3