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The odds in favour of one student Passing a test are 3:7. the odds against another student Passing at are 3:5 . the probability that both pass is?
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The odds in favour of one student Passing a test are 3:7. the odds aga...
To calculate the probability that both students pass their test, we first need to convert the given odds into probabilities.
Understanding the Odds
- **Student A Passing Test: Odds = 3:7**
- This means for every 3 successes, there are 7 failures.
- Total outcomes = 3 + 7 = 10
- Probability of passing (P(A)) = Successful outcomes / Total outcomes = 3/10
- **Student B Passing Test: Odds Against = 3:5**
- This means for every 3 failures, there are 5 successes.
- Total outcomes = 3 + 5 = 8
- Probability of passing (P(B)) = Successful outcomes / Total outcomes = 5/8
Calculating Probability of Both Passing
To find the probability that both students pass, we multiply their individual probabilities:
- P(A and B) = P(A) * P(B)
- P(A and B) = (3/10) * (5/8)
Calculating the Result
- P(A and B) = (3 * 5) / (10 * 8)
- P(A and B) = 15 / 80
- P(A and B) = 3 / 16
Final Result
The probability that both students pass the test is:
- **P(A and B) = 3/16**
This indicates that there is a 3 in 16 chance that both students will successfully pass the test.
Understanding the Odds
- **Student A Passing Test: Odds = 3:7**
- This means for every 3 successes, there are 7 failures.
- Total outcomes = 3 + 7 = 10
- Probability of passing (P(A)) = Successful outcomes / Total outcomes = 3/10
- **Student B Passing Test: Odds Against = 3:5**
- This means for every 3 failures, there are 5 successes.
- Total outcomes = 3 + 5 = 8
- Probability of passing (P(B)) = Successful outcomes / Total outcomes = 5/8
Calculating Probability of Both Passing
To find the probability that both students pass, we multiply their individual probabilities:
- P(A and B) = P(A) * P(B)
- P(A and B) = (3/10) * (5/8)
Calculating the Result
- P(A and B) = (3 * 5) / (10 * 8)
- P(A and B) = 15 / 80
- P(A and B) = 3 / 16
Final Result
The probability that both students pass the test is:
- **P(A and B) = 3/16**
This indicates that there is a 3 in 16 chance that both students will successfully pass the test.
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The odds in favour of one student Passing a test are 3:7. the odds against another student Passing at are 3:5 . the probability that both pass is?
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The odds in favour of one student Passing a test are 3:7. the odds against another student Passing at are 3:5 . the probability that both pass is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The odds in favour of one student Passing a test are 3:7. the odds against another student Passing at are 3:5 . the probability that both pass is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The odds in favour of one student Passing a test are 3:7. the odds against another student Passing at are 3:5 . the probability that both pass is?.
The odds in favour of one student Passing a test are 3:7. the odds against another student Passing at are 3:5 . the probability that both pass is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The odds in favour of one student Passing a test are 3:7. the odds against another student Passing at are 3:5 . the probability that both pass is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The odds in favour of one student Passing a test are 3:7. the odds against another student Passing at are 3:5 . the probability that both pass is?.
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