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Question Number 47837 by Aknabob1 last updated on 15/Nov/18
there are 5 possible answers for each question of a   multiple choice exam containing 10 questions.   if a condidate answered it randomly.   find the probability that he gets (i) no question right   (ii) 3 questions right (iii) 5 questions right    (iv) at least one question right
$${there}\:{are}\:\mathrm{5}\:{possible}\:{answers}\:{for}\:{each}\:{question}\:{of}\:{a}\: \\ $$$${multiple}\:{choice}\:{exam}\:{containing}\:\mathrm{10}\:{questions}.\: \\ $$$${if}\:{a}\:{condidate}\:{answered}\:{it}\:{randomly}.\: \\ $$$${find}\:{the}\:{probability}\:{that}\:{he}\:{gets}\:\left({i}\right)\:{no}\:{question}\:{right} \\ $$$$\:\left({ii}\right)\:\mathrm{3}\:{questions}\:{right}\:\left({iii}\right)\:\mathrm{5}\:{questions}\:{right}\: \\ $$$$\:\left({iv}\right)\:{at}\:{least}\:{one}\:{question}\:{right}\: \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$

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