If I roll a fair, regular six-sided die four times, what is the probability that I will roll the number exactly three times
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The probability that I will roll the number exactly three times is 0.0038.According to the statementwe have given that the a six-sided die is rolled a four times and we have to find the probability that I will roll the number exactly three times.So, We know that theProbability is the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.And the probability of rolling any number on the die is 1/6.Andwhen i want to get a exactly three number than the probability become:So,The probability that I will roll the number exactly three times = 1/6 *1/6 *1/6 *5/6Then solve itThe probability that I will roll the number exactly three times = 1/216 * 5/6here 5/6 is the probability of that numbers which are not come.So,The probability that I will roll the number exactly three times = 5/1296The probability that I will roll the number exactly three times = 0.0038.So, The probability that I will roll the number exactly three times is 0.0038.Learn more about probability herehttps://brainly.com/question/24703884#SPJ4