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## Algebra II

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**Algebra II**10.4: Find Probabilities of Disjoint and Overlapping Events HW: p.710 (8 – 38 even) Chapter 10 Test: Thursday**Overlapping EventsTwo events are overlapping if they have**one or more outcomes in common.P(A or B) = P(A) + P(B) – P(A and B)**Disjoint EventsTwo events are disjoint, or mutually**exclusive, if they have no outcomes in common. P(A or B) = P(A) + P(B) B A**Events A and B are disjoint. Find P(A or B).**1.) P(A) = 0.2, P(B) = 0.3 2.) P(A) = 34%, P(B) = 45%**Find the indicated probability.**1.) P(A) = 47%, P(B) = 21%, P(A or B) = 0.25, P(A and B) = ____________. 2.) P(A) = 0.25, P(B) = 0.32, P(A or B) = 0.45, P(A and B) = ____________.**A card is randomly drawn from a standard deck of 52 cards.**Find the probability of drawing the indicated card. 1.) A heart or a diamond 2.) A spade or an even card**A card is randomly drawn from a standard deck of 52 cards.**Find the probability of drawing the indicated card. 3.) A 6 or a 7 4.) An ace or a spade**A card is randomly drawn from a standard deck of 52 cards.**Find the probability of drawing the indicated card. 5.) An ace and a spade 6.) A face card and a 4 7.) A spade and an even card**Algebra II**10.5: Find Probabilities of Independent and Dependent Events HW: worksheet**A jar contains 10 blue, 4 red,&6 white marbles.**1.) Find the probability of choosing a red, then a white marble with replacement. 2.) Find the probability of choosing a red, then a white marble without replacement.**A jar contains 10 blue, 4 red,&6 white marbles.**3.) Three marbles are chosen with replacement, find the probability that they are not white.**A jar contains 10 blue, 4 red,&6 white marbles.**4.) Three marbles are chosen without replacement, find the probability where at least one marble is white.**Find the probability of drawing the given cards from a**standard deck of 52 cards (a) with replacement and (b) without replacement. 1.) a heart, then a spade**Find the probability of drawing the given cards from a**standard deck of 52 cards (a) with replacement and (b) without replacement. 2.) a king, then a queen**Find the probability of drawing the given cards from a**standard deck of 52 cards (a) with replacement and (b) without replacement. 3.) a 10, then a 10, then another 10**Find the probability of drawing the given cards from a**standard deck of 52 cards (a) with replacement and (b) without replacement. 4.) a 4, then a 3, then a 2