# Use the venn diagram to answer the probability

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36. Use the Venn diagram to answer the probability questions.a)( | )P A Bb)( | )P B Ac)( | )P A Cd)( | )P C Ae)[ |()]P ABCf)[()| ]P BCAg)[ |()]P ABCh)[()| ]P BCAi)( |CP B Aj)(| )CP Ak)[()|()]P ABACl)[()|()]P ABAB37. Use the table to determine:a)( | 1)P A Gb)( 1| )P Gc)( | )P A BBloodTypeTotalEthnic GroupOABABG130015017525650G21256501510800G316514517565550Total5909453651002000)BA
38. Given().15 and P(B)=.55P AB, determine( | )P A B39. Given().6 , P(A).22 and P(B).5P AB, determine( | )P A B40. An urn contains 6 white, 8 red and 3 blue chips. A person selects 4 chips without replacement. Determine thefollowing probabilities:a) P(Exactly 2 chips are white)b) P(All of the chips are blue)c) P(The third chip is red)d) P(The fourth chip is blue | The first 3 were white)41. The first choice that a person makes is between M and N. The probabilities aregiven in the tree diagram below. The second choice a person makes is between Rand S. Determine the following probabilities. Write in your final decimal answer.a)( )P Sb)( )P Rc)( )P Nd)()P MRe)()P NRf)( |)P S Ng)(| )P M S42. Seven cards are selected from a standard deck of cards.a)Determine the probability that exactly 5 of them are hearts.b)Determine the probability that there are 3 hearts and 3 diamonds.c)Determine the probability that there are 3 hearts, 3 diamonds and 1 spade.d)Determine the probability that there are 2 Aces and 2 Kings.e)Determine the probability that there are 2 Aces and 3 Kings.43. Five cards are selected from a deck of cards. Determine the following (not so easy) probabilities:a) We have a full house.b) We have two-pair.c) We have 3 of a kind.d) We have a straight.e) We have a flush.f) We do not have a pair...Section 2.8 Law of Total Probability and Bayes’ Theorem44. An urn contains 6 white, 5 red and 3 blue chips. A person selects 4 chips without replacement. Determine thefollowing probabilities:a) P(The third chip is blue | The first 2 were white)b) P(The third chip is blue | Neither of the first 2 were white)c) P(The fourth chip is blue | The first 2 were white)d) P(The fourth chip is blue | Neither of the first 2 were white)45. Four identical bowls are labeled 1, 2, 3, and 4. Bowl 1 has 5 white chips. Bowl 2 has 3 white chips and 2 blackchips. Bowl 3 has 1 white chip and 3 black chips. Bowl 4 has 2 white chips and 3 black chips.Bowl 1: WWWWWBowl 2: WWWBBBowl 3: WBBBBowl 4: WWBBBa) A bowl is randomly selected (equally likely) and then 2 chips are simultaneously selected. Determine theprobability that both chips are white.b) A bowl is randomly selected (equally likely) and then 2 chips are simultaneously selected. Determine theprobability that Bowl 3 was chosen given that both chips are white.c) A bowl is randomly selected (equally likely) and then 2 chips are simultaneously selected. Determine theprobability that Bowl 2 was chosen given that both chips are white.

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Term
Fall
Professor
Kuhlmann
Tags
Probability theory, 10, 5, 2
• • • 