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 Aishwarya studies Computer Science on Monday, what is the probability that she studies Computer Science on Wednesday?

0.24

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0.36

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0.4

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0.6

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Solution

The correct option is C 0.4

$Fav . Path = (\begin{matrix} CS & CS & CS M & T \end{matrix}) or (\begin{matrix} CS & M & CS M & T & W \end{matrix})$
Required Probability

$= P (C S \cap C S \cap C S) + P (C S \cap M \cap C S)$

$= 1 \times 0.4 \times 0.4 + 1 \times 0.6 \times 0.4$

= 0.4

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Q. Directions:- Study the following information carefully to answer the question given below.

Six lectures are scheduled for a week starting from Monday and ending on Sunday of the same week. Computer Science is not on Tuesday or Saturday. Psychology is immediately after Organizational Behaviour. Statistics is not on Friday and there is a one day gap between Statistics and Research Methods. One day prior to the schedule of Economics there is no lecture. (as that day is the 'off ' day and Monday is not the off day.)

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Q. Directions:- Study the following information carefully to answer the question given below.

Six lectures are scheduled for a week starting from Monday and ending on Sunday of the same week. Computer Science is not on Tuesday or Saturday. Psychology is immediately after Organisational Behaviour. Statistics is not on Friday and there is a one day gap between Statistics and Research Methods. One day prior to the schedule of Economics there is no lecture. (as that day is the 'off ' day and Monday is not the off day).

Which day is Computer Science scheduled for?

A jee aspirant estimates that she will be successful with an 80% chance if she studies 10 hours per day, with a 60% chance if she studies 7 hours per day and with a 40% chance if she studies 4 hours per day. She further believes that she will study10 hours, 7 hours and 4 hours per day with probabilities 0.1, 0.2 and 0.7 respectively
Given that she is successful, then the probability that she studied for 4 hours is

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The correct option is C 0.4 Fav. Path =(CSCSCSMT) or (CSMCSMTW) Required Probability =P(CS∩CS∩CS)+P(CS∩M∩CS) =1×0.4×0.4+1×0.6×0.4 = 0.4

The correct option is C 0.4

$Fav . Path = (\begin{matrix} CS & CS & CS M & T \end{matrix}) or (\begin{matrix} CS & M & CS M & T & W \end{matrix})$
Required Probability

$= P (C S \cap C S \cap C S) + P (C S \cap M \cap C S)$

$= 1 \times 0.4 \times 0.4 + 1 \times 0.6 \times 0.4$

= 0.4