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An instructor has a question bank consisting of 300 easy True / False questions,200 difficult True / False questions, 500 easy multiple choice questions and 400 difficult multiple choice questions. If a question is selected at random from the question bank, what is the probability that it will be an easy question given that it is a multiple choice question?
  • a)
    7/9
  • b)
    5/9
  • c)
    1/9
  • d)
    4/9
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
An instructor has a question bank consisting of 300 easy True / False ...

Total = 1400, therefore n(S) = 1400 Let A = event of getting easy question B = event of getting multiple choice question.
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Most Upvoted Answer
An instructor has a question bank consisting of 300 easy True / False ...
Given:
- 300 easy True / False questions
- 200 difficult True / False questions
- 500 easy multiple choice questions
- 400 difficult multiple choice questions

To find:
- Probability of selecting an easy question given that it is a multiple choice question

Solution:
Total number of questions = 300 + 200 + 500 + 400 = 1400
Total number of multiple choice questions = 500 + 400 = 900
Total number of easy multiple choice questions = 500

The probability of selecting an easy multiple choice question can be found using the conditional probability formula:

P(Easy | Multiple choice) = P(Easy and Multiple choice) / P(Multiple choice)

P(Easy and Multiple choice) = 500 / 1400 = 5/14
P(Multiple choice) = 900 / 1400 = 9/14

Putting the values in the formula, we get:

P(Easy | Multiple choice) = (5/14) / (9/14) = 5/9

Therefore, the probability of selecting an easy question given that it is a multiple choice question is 5/9.

Answer: (b) 5/9
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An instructor has a question bank consisting of 300 easy True / False questions,200 difficult True / False questions, 500 easy multiple choice questions and 400 difficult multiple choice questions. If a question is selected at random from the question bank, what is the probability that it will be an easy question given that it is a multiple choice question?a)7/9b)5/9c)1/9d)4/9Correct answer is option 'B'. Can you explain this answer?
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An instructor has a question bank consisting of 300 easy True / False questions,200 difficult True / False questions, 500 easy multiple choice questions and 400 difficult multiple choice questions. If a question is selected at random from the question bank, what is the probability that it will be an easy question given that it is a multiple choice question?a)7/9b)5/9c)1/9d)4/9Correct answer is option 'B'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about An instructor has a question bank consisting of 300 easy True / False questions,200 difficult True / False questions, 500 easy multiple choice questions and 400 difficult multiple choice questions. If a question is selected at random from the question bank, what is the probability that it will be an easy question given that it is a multiple choice question?a)7/9b)5/9c)1/9d)4/9Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An instructor has a question bank consisting of 300 easy True / False questions,200 difficult True / False questions, 500 easy multiple choice questions and 400 difficult multiple choice questions. If a question is selected at random from the question bank, what is the probability that it will be an easy question given that it is a multiple choice question?a)7/9b)5/9c)1/9d)4/9Correct answer is option 'B'. Can you explain this answer?.
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