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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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Verified 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, M on tuesday and C on wednesday)
+ p(C on monday, C on tuesday and C on wednesday)
= 1 × 0.6 × 0.4 + 1 × 0.4 × 0.4
= 0.24 + 0.16
= 0.40
Most Upvoted Answer
Aishwarya studies either computer science or mathematics everyday. if ...
Given information:
- Aishwarya studies either computer science or mathematics every day.
- If Aishwarya studies computer science on a day, the probability that she studies mathematics the next day is 0.6.
- If Aishwarya studies mathematics on a day, the probability that she studies computer science the next day is 0.4.
We are asked to find the probability that Aishwarya studies computer science on Wednesday, given that she studies computer science on Monday.
To solve this problem, we can use conditional probability.
Conditional Probability:
Conditional probability is the probability of an event occurring given that another event has already occurred. It is denoted by P(A|B), where A and B are events.
In this case, we are interested in finding the probability of Aishwarya studying computer science on Wednesday (event A), given that she studies computer science on Monday (event B). So, we need to find P(A|B).
Applying Conditional Probability:
We know that Aishwarya studies either computer science or mathematics every day. So, we can consider these two events as the sample space.
Let's define the events:
- C: Aishwarya studies computer science
- M: Aishwarya studies mathematics
We are given that Aishwarya studies computer science on Monday (event B), so we are interested in finding the probability of Aishwarya studying computer science on Wednesday (event A).
We need to find P(C|C), which is the probability of Aishwarya studying computer science on Wednesday, given that she studied computer science on Monday.
We can use the formula for conditional probability:
P(C|C) = P(C and C) / P(C)
Finding P(C and C):
Since Aishwarya studies either computer science or mathematics every day, the events C and M are mutually exclusive. So, P(C and C) is equal to P(C).
Finding P(C):
We are given that Aishwarya studies computer science on Monday. So, P(C) = 1.
Calculating the Probability:
Using the formula for conditional probability, we have:
P(C|C) = P(C and C) / P(C)
P(C|C) = P(C) / P(C)
P(C|C) = 1 / 1
P(C|C) = 1
Therefore, the probability that Aishwarya studies computer science on Wednesday, given that she studies computer science on Monday, is 1 or 100%.
Answer:
The probability that Aishwarya studies computer science on Wednesday is 0.4 (or 40%). Therefore, the correct answer is option C) 0.4.
- Aishwarya studies either computer science or mathematics every day.
- If Aishwarya studies computer science on a day, the probability that she studies mathematics the next day is 0.6.
- If Aishwarya studies mathematics on a day, the probability that she studies computer science the next day is 0.4.
We are asked to find the probability that Aishwarya studies computer science on Wednesday, given that she studies computer science on Monday.
To solve this problem, we can use conditional probability.
Conditional Probability:
Conditional probability is the probability of an event occurring given that another event has already occurred. It is denoted by P(A|B), where A and B are events.
In this case, we are interested in finding the probability of Aishwarya studying computer science on Wednesday (event A), given that she studies computer science on Monday (event B). So, we need to find P(A|B).
Applying Conditional Probability:
We know that Aishwarya studies either computer science or mathematics every day. So, we can consider these two events as the sample space.
Let's define the events:
- C: Aishwarya studies computer science
- M: Aishwarya studies mathematics
We are given that Aishwarya studies computer science on Monday (event B), so we are interested in finding the probability of Aishwarya studying computer science on Wednesday (event A).
We need to find P(C|C), which is the probability of Aishwarya studying computer science on Wednesday, given that she studied computer science on Monday.
We can use the formula for conditional probability:
P(C|C) = P(C and C) / P(C)
Finding P(C and C):
Since Aishwarya studies either computer science or mathematics every day, the events C and M are mutually exclusive. So, P(C and C) is equal to P(C).
Finding P(C):
We are given that Aishwarya studies computer science on Monday. So, P(C) = 1.
Calculating the Probability:
Using the formula for conditional probability, we have:
P(C|C) = P(C and C) / P(C)
P(C|C) = P(C) / P(C)
P(C|C) = 1 / 1
P(C|C) = 1
Therefore, the probability that Aishwarya studies computer science on Wednesday, given that she studies computer science on Monday, is 1 or 100%.
Answer:
The probability that Aishwarya studies computer science on Wednesday is 0.4 (or 40%). Therefore, the correct answer is option C) 0.4.
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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)0.6Correct 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)0.24 b)0.36 c)0.4 d)0.6Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering 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)0.24 b)0.36 c)0.4 d)0.6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 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)0.24 b)0.36 c)0.4 d)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)0.24 b)0.36 c)0.4 d)0.6Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering 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)0.24 b)0.36 c)0.4 d)0.6Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 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)0.24 b)0.36 c)0.4 d)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)0.24 b)0.36 c)0.4 d)0.6Correct answer is option 'C'. Can you explain this answer?, a detailed solution 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)0.24 b)0.36 c)0.4 d)0.6Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of 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)0.6Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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