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The binomial coefficient is the number of ways of picking unordered outcomes from possibilities, also known as a combination or combinatorial number. therefore gives the number of k-subsets possible out of a set of distinct items. For example, The 2-subsets of are the six pairs , , , , , and , so . The number of lattice paths from the origin to a point ) is the binomial coefficient (Hilton and Pedersen 1991).
Solution: This is a binomial experiment in which the number of trials is equal to 5, the number of successes is equal to 2, and the probability of success on a single trial is 1/6 or about 0.167.Therefore, the binomial probability is: b(2; 5, 0.167) = 5 C 2 * (0.167) 2 * (0.833) 3. b(2; 5, 0.167) = 0.161.olution: This is a binomial experiment in which the number of trials is equal to 5, the number of successes is equal to 2, and the probability of success on a single trial is 1/6 or about 0.167. Therefore, the binomial probability is: b(2; 5, 0.167) = 5 C 2 * (0.167) 2 * (0.833) 3. b(2; 5, 0.167) = 0.161.