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Asked by Mangesh Last Modified
Answer 
Vishaka Bhutia
Home Tutor
The given data can be tabulated as
| True/False | Multiple choice | Total | |
| Easy | 300 | 500 | 800 |
| Difficult | 200 | 400 | 600 |
| Total | 500 | 900 | 1400 |
Let us denote E = easy questions, M = multiple choice questions, D = difficult questions, and T = True/False questions
Total number of questions = 1400
Total number of multiple choice questions = 900
Therefore, probability of selecting an easy multiple choice question is
P (E ∩ M) = 
Probability of selecting a multiple choice question, P (M), is
P (E|M) represents the probability that a randomly selected question will be an easy question, given that it is a multiple choice question.
∴ 
Therefore, the required probability is
.
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