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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)0.92
- 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.
We are asked to find the probability that at least one of the categories getting a scholarship.
Let the event of a girl getting a scholarship be A and the event of a boy getting a scholarship be B.
Using the formula of probability of union of two events, we get:
P(A U B) = P(A) + P(B) - P(A ∩ B)
Where P(A U B) is the probability of at least one of the events happening, P(A) is the probability of event A happening, P(B) is the probability of event B happening and P(A ∩ B) is the probability of both events A and B happening together.
Substituting the given values, we get:
P(A U B) = 0.6 + 0.8 - (0.6 x 0.8)
P(A U B) = 0.92
Therefore, the probability that at least one of the categories getting a scholarship is 0.92.
Hence, 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.
We are asked to find the probability that at least one of the categories getting a scholarship.
Let the event of a girl getting a scholarship be A and the event of a boy getting a scholarship be B.
Using the formula of probability of union of two events, we get:
P(A U B) = P(A) + P(B) - P(A ∩ B)
Where P(A U B) is the probability of at least one of the events happening, P(A) is the probability of event A happening, P(B) is the probability of event B happening and P(A ∩ B) is the probability of both events A and B happening together.
Substituting the given values, we get:
P(A U B) = 0.6 + 0.8 - (0.6 x 0.8)
P(A U B) = 0.92
Therefore, the probability that at least one of the categories getting a scholarship is 0.92.
Hence, 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...
As atleast one has to get scholarship, we get the required probability by deducting the probability of none getting scholarship from total probability i.e.1.
When none gets scholarship, the probability is
= (1-0.6)(1-0.8) = 0.4 × 0.2 = 0.08
Required probability= 1-0.08 =0.92(C)
When none gets scholarship, the probability is
= (1-0.6)(1-0.8) = 0.4 × 0.2 = 0.08
Required probability= 1-0.08 =0.92(C)
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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)0.92d)None of the above.Correct answer is option 'C'. Can you explain this answer?
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