Project ForgeAishwarya 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?
- A0.24
- B0.36
- 0.4
- D0.6
Explanation
From CS, P(CS next day)=1-0.6=0.4. From Math, P(CS next day)=0.4 (given directly). Since BOTH transition probabilities into CS are 0.4 regardless of Tuesday's subject, P(CS on Wednesday) = P(Tue=CS)·0.4 + P(Tue=Math)·0.4 = 0.4·(P(Tue=CS)+P(Tue=Math)) = 0.4·1 = 0.4.
Source: GATE CS 2008 (2008)
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