164 Probability Lesson #5: Solving Problems Using Tables and Diagrams7. Consider the following two experiments:Experiment 1: Two cards are drawn with replacement from a standard deck of 52 cards.Experiment 2: Two cards are drawn without replacement from a standard deck of 52 cards.In each case, complete the tree diagram and determine the probability that both cardsare diamonds.Experiment 1Experiment 2ebua lo babA ot mobnsn is busoVuon na8. Pauline has heard on the news that there will be a comet passing near the Earth.The weatherman on the news reported that there is a 70% chance that the comet will bevisible if the night sky is clear. If the night sky is not clear, there is only a 15% chance ofbeing able to see the comet. He has also said that there is a 40% chance that the night skywill not be clear.a) If V is the event "the comet is visible" and C is the event "the night sky is clear",express the following probabilities as reduced fractions.i) P(C)ii) P(C')iii) P(V|C)iv) P(V|C')b) Using a tree diagram, determine the odds in favour of Pauline being ableto see the comet.insve ov

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7. Consider the following two experiments: Experiment 1: Two cards are drawn with replacement from a standard deck of 52 cards. Experiment 2: Two cards are drawn without replacement from a standard deck of 52 cards. In each case, complete the tree diagram and determine the probability that both cards are diamonds. (HI Experiment 1 Experiment 2 aldu lcham ebua to babD at mobnn ie busp oo goblo Ove ot tpe osk Cen