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The probability of Girl getting scholarship is 0.6 and the same probability for Boy is 0.8. Find the probability that at least one of the categories getiing scholarship.
- a)0.32
- b)0.44
- c)0.52
- d)None of the above.
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The probability of Girl getting scholarship is 0.6 and the same probab...
Solution:
Given, the probability of a girl getting a scholarship is 0.6 and the probability of a boy getting a scholarship is 0.8.
Let A be the event that a girl gets a scholarship and B be the event that a boy gets a scholarship.
We need to find the probability that at least one of the categories is getting a scholarship, i.e., P(A∪B).
Using the formula for the probability of the union of two events, we have:
P(A∪B) = P(A) + P(B) - P(A∩B)
where P(A∩B) is the probability that both a girl and a boy get a scholarship.
Since the events A and B are independent (i.e., the probability of one event does not affect the probability of the other event), we have:
P(A∩B) = P(A) × P(B) = 0.6 × 0.8 = 0.48
Substituting the values in the above equation, we get:
P(A∪B) = 0.6 + 0.8 - 0.48 = 0.92
Hence, the probability that at least one of the categories is getting a scholarship is 0.92.
Therefore, the correct answer is option 'C'.
Given, the probability of a girl getting a scholarship is 0.6 and the probability of a boy getting a scholarship is 0.8.
Let A be the event that a girl gets a scholarship and B be the event that a boy gets a scholarship.
We need to find the probability that at least one of the categories is getting a scholarship, i.e., P(A∪B).
Using the formula for the probability of the union of two events, we have:
P(A∪B) = P(A) + P(B) - P(A∩B)
where P(A∩B) is the probability that both a girl and a boy get a scholarship.
Since the events A and B are independent (i.e., the probability of one event does not affect the probability of the other event), we have:
P(A∩B) = P(A) × P(B) = 0.6 × 0.8 = 0.48
Substituting the values in the above equation, we get:
P(A∪B) = 0.6 + 0.8 - 0.48 = 0.92
Hence, the probability that at least one of the categories is getting a scholarship is 0.92.
Therefore, the correct answer is option 'C'.
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Community Answer
The probability of Girl getting scholarship is 0.6 and the same probab...
Answer is wrong the correct answer is 0.8×0.6=0.48
than it subtracted from 1
1-0.48=0.52
than it subtracted from 1
1-0.48=0.52
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The probability of Girl getting scholarship is 0.6 and the same probability for Boy is 0.8. Find the probability that at least one of the categories getiing scholarship.a)0.32b)0.44c)0.52d)None of the above.Correct answer is option 'C'. Can you explain this answer?
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