Now suppose we wants to analyze the probability of going into the bowl twice selecting a...

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Now suppose we wants to analyze the probability of going into the bowl twice selecting a yellow M & M on both selections. Here we have an and statement, it is the same as saying waht is the probability of selecting a yellow M & M on the selection and on the second selection. So we need to multiply probabilities, and before we can do so we need to determine if the events are dependent or independent. Well developing the first probability is not effected by dependence or independenc the probability of selecting the first M & M and its yellow is 20/45 but the development of the next probability begs the question are the events dependent or independent so we need to ask ourselves if the first M & M that we selected was a yellow M & M does this effect the probability that the next M & M that we select is yellow? What will determine this is whether we decide to eat that first M & M or put it back in the bowl after we make our first selection. P(1st yellow and 2nd yellow) = 20/45 * 20/45 = 400/2,025 (If we replace M & M after 1st selection) P(1st yellow and 2nd yellow) = 20/45 * 19/44 = 380/1,980 (If we do not replace our first selection) Take notice that this theory will always solve the follow probabilty under the assumption that the previous event did happen. Try the following problems for HW and submit them back to me via Blackboard email no later than Monday evening. Using the data above: 1. P(1st is red and 2nd is green) Assume dependent events 2. P(1st is yellow and 2nd is red) Assume independent events Now suppose we wants to analyze the probability of going into the bowl twice selecting a yellow M & M on both selections. Here we have an and statement, it is the same as saying waht is the probability of selecting a yellow M & M on the selection and on the second selection. So we need to multiply probabilities, and before we can do so we need to determine if the events are dependent or independent. Well developing the first probability is not effected by dependence or independenc the probability of selecting the first M & M and its yellow is 20/45 but the development of the next probability begs the question are the events dependent or independent so we need to ask ourselves if the first M & M that we selected was a yellow M & M does this effect the probability that the next M & M that we select is yellow? What will determine this is whether we decide to eat that first M & M or put it back in the bowl after we make our first selection. P(1st yellow and 2nd yellow) = 20/45 * 20/45 = 400/2,025 (If we replace M & M after 1st selection) P(1st yellow and 2nd yellow) = 20/45 * 19/44 = 380/1,980 (If we do not replace our first selection) Take notice that this theory will always solve the follow probabilty under the assumption that the previous event did happen. Try the following problems for HW and submit them back to me via Blackboard email no later than Monday evening. Using the data above: 1. P(1st is red and 2nd is green) Assume dependent events 2. P(1st is yellow and 2nd is red) Assume independent events