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  • Aishwarya studies either Computer Science or Mathematics everyday. If she studies Computer Science on a day, then the probability that she studies Mathematics on the next day is 0.6 . If she s

Aishwarya studies either Computer Science or Mathematics everyday. If she studies Computer Science on a day, then the probability that she studies Mathematics on the next day is 0.6 . If she studies Mathematics on a day, then the probability that she studies Computer Science on the next day is 0.4. Given that Aishwaraya studies Computer Science on Monday, what is the probability that she studies Computer Science on Wednesday?

Option: 1

0.24


Option: 2

0.36


Option: 3

0.4


Option: 4

0.6


Answers (1)

best_answer

\begin{aligned} & \text { Fav. Path }=\left(\begin{array}{ccc} \text{C S} &\text{ C S} & \text{C S} \\ \text{M} & \text{T} & \text{W} \end{array}\right) \text { or }\left(\begin{array}{ccc} \text{C S} & \text{M} & \text{C S} \\ \text{M} & \text{T} & \text{W} \end{array}\right) \\ \end{aligned}

    Required                                                 Probability

             \mathrm{P(C S \cap C S \cap C S)+P(C S \cap M \cap C S)}

\begin{aligned} & =1 \times 0.4 \times 0.4+1 \times 0.6 \times 0.4 \\ & =0.4 \end{aligned}

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Deependra Verma

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