## Introduction to Probability

First, we will discuss experiments where outcomes are equally likely to occur and the frequency approach to assigning probabilities. Then, we will focus on the concept of events and touch on the issue of conditional probability.

**Question 1 out of 12.**

You have a bag of marbles. There are 3 red marbles, 2 green marbles, 7 yellow marbles, and 3 blue marbles. What is the probability of drawing a blue marble?

**Question 2 out of 12.**

You have a bag of marbles. There are 3 red marbles, 2 green marbles, 7 yellow marbles, and 3 blue marbles. What is the probability of drawing a yellow or red marble?

**Question 3 out of 12.**

You have a bag of marbles. There are 3 red marbles, 2 green marbles, 7 yellow marbles, and 3 blue marbles. What is the probability of drawing something other than a red marble?

**Question 4 out of 12.**

You throw 2 dice. What is the probability that the sum of the two dice will be 5?

**Question 5 out of 12.**

Select all that apply. Which of the following pairs are independent events?

two coin flips

a student's midterm and final grades in a class

draw an ace, leave it out, then draw an ace again

draw an ace, put it back, then draw an ace again

**Question 6 out of 12.**

You win a game if you roll a die and get an odd number and flip a coin and get tails. What is the probability that you win?**Question 7 out of 12.**

You win $1 every time you flip a coin and get heads. You win $3 every time you roll a die and get a 5. You roll the die and flip the coin one time each. What is the probability that you win money from at least one game?**Question 8 out of 12.**

A survey showed that 60% of all adults in your city take public transportation to work. If 3 people are chosen at random, what is the probability that they will all take public transportation to work?**Question 9 out of 12.**

You win a game if you roll a 3 on at least one of your two dice. What is the probability that you win?**Question 10 out of 12.**

If you throw a die four times, what is the probability that one or more of your throws will come up with a 4?**Question 11 out of 12.**

What is the probability that you draw two cards from a deck and both of them are spades?**Question 12 out of 12.**

You flip a coin three times. Is it more likely to get heads all three times or heads, then tails, then heads?

HHH

HTH

They are both equally likely