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Monica D.

asked • 09/06/19

A probability question with sequences

A sequence of numbers X1, X2,... are produced by taking a random number from the set {1,2,3...n}.

The summation Sk is defined to be X1+X2+...+Xk.

Which of the following is a correct expression for the probability that Sk can be smaller or equal to n?

The answer is (nCk)/nn

Why? Explain

Thank you in advance! My teacher gave this to me for math extension 1 & I’m so confused, I don’t even know where to begin with this question!

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