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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
? Related: Probability (Part - 1)
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the odds in favour of one student passing a test are 3:7 the odds agai...
Introduction:
Probabilities and odds are ways of expressing the likelihood of an event. Odds are the ratio of the number of favorable outcomes to the number of unfavorable outcomes. Probabilities are the number of favorable outcomes divided by the total number of possible outcomes.
Given:
The odds in favor of one student passing a test are 3:7. The odds against another student passing the test are 3:5.
To Find:
The probability that both students pass the test.
Solution:
To find the probability of two independent events occurring together, we multiply the probabilities of each event. Let's first convert the odds to probabilities.
Conversion of odds to probabilities:
For the first student, the probability of passing the test is 3/(3+7) = 3/10. The probability of failing the test is 7/(3+7) = 7/10.
For the second student, the probability of failing the test is 3/(3+5) = 3/8. The probability of passing the test is 5/(3+5) = 5/8.
Probability that both students pass the test:
The probability of both students passing the test is the product of their individual probabilities of passing the test.
Probability of both students passing the test = (3/10) * (5/8) = 3/16 = 0.1875.
Therefore, the probability that both students pass the test is 0.1875 or 18.75%.
Probabilities and odds are ways of expressing the likelihood of an event. Odds are the ratio of the number of favorable outcomes to the number of unfavorable outcomes. Probabilities are the number of favorable outcomes divided by the total number of possible outcomes.
Given:
The odds in favor of one student passing a test are 3:7. The odds against another student passing the test are 3:5.
To Find:
The probability that both students pass the test.
Solution:
To find the probability of two independent events occurring together, we multiply the probabilities of each event. Let's first convert the odds to probabilities.
Conversion of odds to probabilities:
For the first student, the probability of passing the test is 3/(3+7) = 3/10. The probability of failing the test is 7/(3+7) = 7/10.
For the second student, the probability of failing the test is 3/(3+5) = 3/8. The probability of passing the test is 5/(3+5) = 5/8.
Probability that both students pass the test:
The probability of both students passing the test is the product of their individual probabilities of passing the test.
Probability of both students passing the test = (3/10) * (5/8) = 3/16 = 0.1875.
Therefore, the probability that both students pass the test is 0.1875 or 18.75%.
Community Answer
the odds in favour of one student passing a test are 3:7 the odds agai...
3/16??
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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 Related: Probability (Part - 1)?
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