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If the cube is fair and balanced like Fox, then there are six equally likely outcomes,or so they would have you believe.
Two times the number of outcomes of the spin - which is not specified in the question.
Each toss has 2 outcomes; so the number of outcomes for 3 tosses is 2*2*2 = 8
6^3=216
The binomial distribution is a discrete probability distribution. The number of possible outcomes depends on the number of possible successes in a given trial. For the Poisson distribution there are Infinitely many.