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Likely means the same as probable and probable refers to the probability that something might happen, Probability is measured using a scale of probability from zero to one. Zero means that the event will definitely not happen whereas a probability of 1 means that the event is certain to happen, Similarly a probability of 0.5 means that the event is just as likely not to happen as to happen. What is the probability that you could swim the Atlantic unaided? Zero What is the probability that a bird will die? One What is the probability that I can throw a 1 with a dice? 1 out of 6 = 0.1666666....... What is the probability that I can toss a "heads" with a coin? 50% = 0.5 = one half
The significance of the mean of a probability distribution is that it is the most probably thing to happen. The mean is the average of a set of values. If it is the average of a probability distribution, it is the most probable part.
The mean of a discrete probability distribution is also called the Expected Value.
probability
The probability of rolling a 6 on each roll of an unbiased cuboid die is 1/6 If you mean at least one of the rolls shows a 6 then it is the same as 1 - pr(no roll shows a 6) = 1 - (5/6)⁶⁰ ≈ 1 - 0.0000177 = 0.9999823 If you mean that exactly one 6 is rolled then: Pr(exactly one 6) = 60 × 1/6 × (5/6)⁵⁹ ≈ 0.0002130