In an experiment, there are n independent trials. For each trial, there are three outcomes: A, B, and C. For each trial, the probability of outcome A is 0.40, the probability of outcome B is 0.50, and the probability of outcome C is 0.10. Suppose there are 10 trials.
(a) Can we use the binomial experiment model to determine the probability of four outcomes of type A, five of type B, and one of type C? Explain.
(b) Can we use the binomial experiment model to determine the probability of four outcomes of type A and six outcomes that are not of type A? Explain. What is the probability of success on each trial?