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Aishwarya studies either computer science or mathematics everyday. if the 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
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Aishwarya studies either computer science or mathematics everyday. if ...
Let C denote computes science study and M denotes maths study.
P(C on monday and C on wednesday) + p(C on monday, c on tuesday and C on wednesday)
= 1 x 0.6 x 0.4 + 1 x 0.4 x 0.4
= 0.24 + 0.16
= 0.40
P(C on monday and C on wednesday) + p(C on monday, c on tuesday and C on wednesday)
= 1 x 0.6 x 0.4 + 1 x 0.4 x 0.4
= 0.24 + 0.16
= 0.40
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Community Answer
Aishwarya studies either computer science or mathematics everyday. if ...
Given information:
- Aishwarya studies either computer science or mathematics every day.
- 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.
- Aishwarya studies computer science on Monday.
To find:
- The probability that she studies computer science on Wednesday.
Approach:
To find the probability that Aishwarya studies computer science on Wednesday, we will use the concept of conditional probability.
Solution:
Let's denote the event "Aishwarya studies computer science" as CS and the event "Aishwarya studies mathematics" as Math.
We are given that Aishwarya studies computer science on Monday. So, the probability of this event is P(CS) = 1.
Now, let's find the probability that Aishwarya studies computer science on Wednesday, denoted as P(CS|CS), using the conditional probability formula:
P(CS|CS) = P(CS on Monday and CS on Wednesday) / P(CS on Monday)
Since Aishwarya studies either computer science or mathematics every day, the probability of studying computer science on Wednesday can be calculated as follows:
P(CS on Monday and CS on Wednesday) = P(CS on Monday) * P(CS on Wednesday|CS on Monday)
We are given that if Aishwarya studies computer science on a day, then the probability that she studies mathematics the next day is 0.6. Therefore, the probability of studying computer science on Wednesday given that she studied computer science on Monday is:
P(CS on Wednesday|CS on Monday) = 1 - P(Math on Tuesday|CS on Monday) = 1 - 0.6 = 0.4
Substituting the values in the formula:
P(CS|CS) = (1 * 0.4) / 1 = 0.4
Therefore, the probability that Aishwarya studies computer science on Wednesday is 0.4, which corresponds to option C.
- Aishwarya studies either computer science or mathematics every day.
- 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.
- Aishwarya studies computer science on Monday.
To find:
- The probability that she studies computer science on Wednesday.
Approach:
To find the probability that Aishwarya studies computer science on Wednesday, we will use the concept of conditional probability.
Solution:
Let's denote the event "Aishwarya studies computer science" as CS and the event "Aishwarya studies mathematics" as Math.
We are given that Aishwarya studies computer science on Monday. So, the probability of this event is P(CS) = 1.
Now, let's find the probability that Aishwarya studies computer science on Wednesday, denoted as P(CS|CS), using the conditional probability formula:
P(CS|CS) = P(CS on Monday and CS on Wednesday) / P(CS on Monday)
Since Aishwarya studies either computer science or mathematics every day, the probability of studying computer science on Wednesday can be calculated as follows:
P(CS on Monday and CS on Wednesday) = P(CS on Monday) * P(CS on Wednesday|CS on Monday)
We are given that if Aishwarya studies computer science on a day, then the probability that she studies mathematics the next day is 0.6. Therefore, the probability of studying computer science on Wednesday given that she studied computer science on Monday is:
P(CS on Wednesday|CS on Monday) = 1 - P(Math on Tuesday|CS on Monday) = 1 - 0.6 = 0.4
Substituting the values in the formula:
P(CS|CS) = (1 * 0.4) / 1 = 0.4
Therefore, the probability that Aishwarya studies computer science on Wednesday is 0.4, which corresponds to option C.
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Aishwarya studies either computer science or mathematics everyday. if the 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)0.24b)0.36c)0.4d)0.6Correct answer is option 'C'. Can you explain this answer?
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Aishwarya studies either computer science or mathematics everyday. if the 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)0.24b)0.36c)0.4d)0.6Correct answer is option 'C'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Aishwarya studies either computer science or mathematics everyday. if the 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)0.24b)0.36c)0.4d)0.6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Aishwarya studies either computer science or mathematics everyday. if the 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)0.24b)0.36c)0.4d)0.6Correct answer is option 'C'. Can you explain this answer?.
Aishwarya studies either computer science or mathematics everyday. if the 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)0.24b)0.36c)0.4d)0.6Correct answer is option 'C'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Aishwarya studies either computer science or mathematics everyday. if the 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)0.24b)0.36c)0.4d)0.6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Aishwarya studies either computer science or mathematics everyday. if the 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)0.24b)0.36c)0.4d)0.6Correct answer is option 'C'. Can you explain this answer?.
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