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Question

An instructor ahs a question bank consisting of 300 easy true / false question, 200 difficult true/false question , 500 easy multiple choice questions and 400 difficult multiple choice questions. IF a question is selected at random from the test bank, what is the probability that it will be an easy question g9iven that it is a multiple choice question?
 


Solution

 Tota number of question = 300+200+500+400 = 1400.
LEt E be the event that selected question is an easy question
Then n(E)=500+300=800P(E)=Number of favorable outcomesTotal number of outcomes=8001400=47
LEt F be the event that selected question is a multiple choice question.
Then,  n(F)=500+400=900P(F)=Total number of easy questiionsTotal number of question=9001400=914P(EF)=5001400=514P(EF)=P(EF)P(F)=51499

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