A valid example of a situation where one can apply the binomial distribution is in determining the probability of rolling a 6 or a 5 with the toss of a pair of dice.

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The binomial distribution is used to model the probability of a certain number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant. Rolling a certain number on a pair of dice does not meet these criteria, as there are multiple possible outcomes and the probabilities are not constant. A better model for this situation would be the multinomial distribution.

A Valid Example of a Situation Where One Can Apply