# 12 4 Find Probabilities of Disjoint and Overlapping

12. 4 Find Probabilities of Disjoint and Overlapping Events Mrs. vazquez Geometry

(S. cp. )1, 4, 5, 7, 9, (s. md)6, 7 Essential Question: How are many Objective: Students will be able to find probabilities of compound events.

definitions compound event: the union or intersection of two events overlapping events: when two events have 1+ outcomes in common disjoint event: (mutually exclusive events) when two events have no common outcome

probability formulas P(A or B) = P(A) + P(B) - P(A & B) P(A or B) = P(A) + P(B) A card is randomly selected from a standard deck of 52 cards. Find the probability of the given event. 1. Selecting an ace or an eight 2. Selecting a 10 or a diamond

solve Out of 200 students in a senior class, 64 seniors are either in band or on honor roll. 32 seniors are in band & 51 seniors are on the honor roll. What is the probability that a randomly selected senior is both in band & on the honor roll?

complement of an event complement: (Ā) all outcomes that are not in event A Ā: “A bar” P(Ā) = 1 - P(A)

solve A restaurant gives a free fortune cookie to every guest. The restaurant claims there are 100 different hidden messages inside the cookies. What is the probability that a group of 5 people will receive at least 2 fortune cookies with the same message? How does the answer change if there are 500 different messages?

- Slides: 7