Compound Probabilities Section 10 4 10 5 And

Compound Probabilities Section 10. 4 -10. 5

“And” Probabilities Independent Events • Example 1: Suppose you toss three coins. What is the probability of getting three tails? • Example 2: If you have 5 children, what is the probability that all of your children are girls? • Example 3: What is the probability that you correctly guess someone’s combination to their locker? The combination lock is a 3 number sequence, with numbers ranging from 0 -39.

“And” Probabilities Dependent Events • Example 4: I am picking a committee for this class. What is the probability that I randomly choose 3 girls? • Example 5: You have 10 marbles in a bag: 3 blue, 3 red, and 4 yellow. You pick 3 marbles from the bag without replacing them. What is the probability that you picked 3 blue marbles? • Example 6: A three-person jury must be selected at random from a pool of 12 people: 6 men and 6 women. What is the probability of selecting all men?

“Or” Probabilities Non-Overlapping Events • Example 7: You roll a single die. What is the probability of rolling either a 2 or a 3? • Example 8: What is the probability of drawing either a jack or a king from a regular deck of cards?

“Or” Probabilities Overlapping Events • Example 9: What is the probability of drawing either a queen or a club from a standard deck of cards? • Example 10: You select one person at random from a room with 8 people: 2 Democratic men, 2 Republican men, 2 Democratic women, and 2 Republican women. What is the probability that you will select either a woman or a Democrat?

“At Least” Probabilities • Example 11: What is the probability of rolling at least one 5 if you roll 2 fair dice? • Example 12: Suppose you toss a coin 4 times. What is the probability of getting at least one head?