Dice: How big is the probability that there will be six in each cast you make five consecutive? Answer in decimal form.

Answer 1

I assume that the question refers to the tossing of a single die. In this case the probability of a 6 in a single cast (toss) of the die is 1/6. The probability of observing 5 6's in 5 tosses is (1/6)^5=.0001286.

Answer 2

I'm going to assume your question is "If I roll a dice 5 times, what is the probability there is at least one six". The way to solve this question is find the probability of the opposite, i.e., find the probability that there are no sixes, then subtract from one.

P(at least one six) = 1 - P(no sixes) = 1 - (5/6)^5 = 1 - 3125/7776 = 4651/7776.