There are two bags containing only green and yellow marbles.Bag A has 2 green marbles and 3 yellow marbles.Bag B has 4 green marbles and 16 yellow marbles.A marble is randomly chosen from each bag.List these events from least likely to most likely.Event 1: choosing a green or yellow marble from Bag B.Event 2: choosing an orange marble from Bag A.Event 3: choosing a green marble from Bag A.Event 4: choosing a green marble from Bag B.Least likely Most likelyEvent , Event , Event , Event
Question
There are two bags containing only green and yellow marbles.Bag A has 2 green marbles and 3 yellow marbles.Bag B has 4 green marbles and 16 yellow marbles.A marble is randomly chosen from each bag.List these events from least likely to most likely.Event 1: choosing a green or yellow marble from Bag B.Event 2: choosing an orange marble from Bag A.Event 3: choosing a green marble from Bag A.Event 4: choosing a green marble from Bag B.Least likely Most likelyEvent , Event , Event , Event
Solution
Event 2: choosing an orange marble from Bag A is the least likely event because there are no orange marbles in Bag A.
Event 3: choosing a green marble from Bag A is the next least likely event. There are 2 green marbles out of a total of 5 marbles in Bag A, so the probability is 2/5 or 40%.
Event 4: choosing a green marble from Bag B is the next most likely event. There are 4 green marbles out of a total of 20 marbles in Bag B, so the probability is 4/20 or 20%.
Event 1: choosing a green or yellow marble from Bag B is the most likely event because all the marbles in Bag B are either green or yellow. So, the probability is 1 or 100%.
So, the events from least likely to most likely are: Event 2, Event 3, Event 4, Event 1.
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