A true-false test consists of 20 questions, each of which has one correct answer: true, or false. One point is awarded for every correct answer, but one point is taken off for each wrong answer. Suppose a student answers every question by guessing at random, independently of other questions. Let S be the studentâ€™s score on the test.
1-Find E(S)
2-Find SE(S)
3-Find (no approximations, please) P(S=0)

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so what is the probability that they get the first question right?

1/2

and just the next questions probability?

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