A multiple choice test consist of 8 questions with 3 answer to each question (of which only one is correct). A student answers each question by rolling abalanced dice & checking the first answer if he gets 1 or 2, the second answerif he gets 3 or 4 & the third answer if he gets 5 or 6. To get a distinction, thestudent must secure at least 75% correct answers. If there is no negativemarking, what is the probability that the student secures a distinction?

A multiple choice test consist of 8 questions with 3 answer to each qu

1.	A multiple choice test consist of 8 questions with 3 answer to each question (of which only one is correct). A student answers each question by rolling abalanced dice & checking the first answer if he gets 1 or 2, the second answerif he gets 3 or 4 & the third answer if he gets 5 or 6. To get a distinction, thestudent must secure at least 75% correct answers. If there is no negativemarking, what is the probability that the student secures a distinction?
Answer» a multiple choice test consists of 8 question with 3 answers of each questionA student answers each question by ROLLING a dicefirst answer if he gets 1 or 2 second answer 3 or 4 third if he gets 5 or 6..to GET a distinction he must SECURE atleast 75% correct answerTo find : what is the probability that student secures distinctionSolution:Probability of Each correct answer p = 2/6 = 1/3Probability of incorrect answer = q = 1 - 1/3 = 2/3n = 8P(x) = ⁿCₓpˣqⁿ⁻ˣatleast 75% correct answer=> (75/100)8 = 6 Correct answers = 6 , 7 or 8 probability that student secures distinction = P(6) + P(7) + P(8)= ⁸C₆(1/3)⁶(2/3)² + ⁸C₇(1/3)⁷(2/3)¹ + ⁸C₈(1/3)⁸(2/3)⁰= 28 * 4 / 3⁸ + 8 * 2 / 3⁸ + 1/3⁸= 112/6561 + 16/6561 + 1/6561= 129/6561= 43/2187= 0.01966probability that student secures distinction = 43/2187 or 0.01966Learn More :The probability of a component's failure is 0.05. Out of 14 ... brainly.in/question/19727623 If probability is 0.55 that a person will believe in a piece of fake news ... brainly.in/question/19591686 Human error is given as the reason for 75% of all accidents in a ... brainly.in/question/16832177

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