The probability of Girl getting scholarship is 0.6 and the same probab...
A′scahnceofgettingscholarship=0.6
B′scahnceofgettingscholarship=0.3
Probability tha tat least one of them gets = 1−probability that both of them don′t gets
=1−0.6∗0.8=0.52
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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'.
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