1. A psychology class conducted an experiment. In this experiment 15 children were asked to solve a puzzle independently in a fixed amount of time.  The class is interested in determining the number of children who will succeed in solving the puzzle.  Under the assumption that the probability of completing the task is as low as 0.1 for each child, determine the probabilities of the following events: a) only 2 of the 15 children will solve the puzzle b) at most 2 will solve the puzzle

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A: GivenA die is rolled one timethen the outcomes are{1,2,3,4,5,6}Total no.of outcomes = 6