Random experiment; sample space; events (impossible, simple, compound); addition and multiplication rules; conditional probability; independence; total probability; Bayes' theorem; permutations and combinations in probability. Mean, median, mode; mean deviation, standard deviation, variance of grouped and ungrouped data; analysis of frequency distributions; random variables — mean and variance.
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Q1 · Probability and Statistics · MEDIUM
A fair die is thrown repeatedly until a six is obtained. Let X denote the number of throws required. If the probability that X ≥ 4 is k/27, then k equals: