GATE | GATE CS 2008 | Question 27

Aishwarya studies either computer science or mathematics everyday. If she studies computer science on a day, then the probability that she studies mathematics the next day is 0.6. If she studies mathematics on a day, then the probability that she studies computer science the next day is 0.4. Given that Aishwarya studies computer science on Monday, what is the probability that she studies computer science on Wednesday?
(A) 0.24
(B) 0.36
(C) 0.4
(D) 0.6


Answer: (C)

Explanation: Aishwarya studies computer science on Monday –> The probability that she studies mathematics on Tuesday is 0.6 and the probability that she studies computer computer science on Tuesday is 0.4

–> She studies mathematics on Tuesday and computer science on Wednesday
= 0.6 x 0.4
= 0.24

She studies computer science on Tuesday and computer science on Wednesday
= 0.4×0.4 = 0.16



Adding 1 and 2, the required probability that she stuides computer science on Wednesday
= 0.24 + 0.16 = 0.40

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