A student takes a 10 question multiply choice quiz with 5choices for each answer

Question

A student takes a 10 question multiply choice quiz with 5choices for each answer. If the student guesses at random on eachquestion a) What is the probability that the student gets exactly 6questions right b) What is the probability that the student gets at least6 questions right A student takes a 10 question multiply choice quiz with 5choices for each answer. If the student guesses at random on eachquestion a) What is the probability that the student gets exactly 6questions right b) What is the probability that the student gets at least6 questions right

Explanation / Answer

(10 nCr 6) *(1/5)^6 *(4/5)^4
b) The probability of getting at least 6 questions is theprobability of getting 6 questions, 7 questions, 8 questions, 9questions or 10 questions. Using the same idea as above, the answeris
(10 nCr 6) *(1/5)^6 *(4/5)^4 + (10 nCr 7) *(1/5)^7*(4/5)^3 + (10 nCr 8) *(1/5)^8 *(4/5)^2 + (10 nCr 9)*(1/5)^9 *(4/5)^1 + (10 nCr 10) *(1/5)^10 *(4/5)^0

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