Solved: In a statewide competitive examination for engineering, Basic Statistics

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In a statewide competitive examination for engineering

Question: In a statewide competitive examination for engineering admission, the register number allotted to the candidates is of the form CCNNNN, where C is a character like A, B, and C, etc., and N is a number from 0 to 9. Assume that you are scanning through the rank list (based on marks secured in the competitive examination), what is the probability that

(a) the next five entries in the list will have numbers 7000 or higher?

(b) the next three entries will have numbers greater than 3000?

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