If the probability of A failing in an examination is 1/5 and that of B failing the same examination is 3/10, then the probability that either A or B fails is
A. 1/2
B. 11/25
C. 19/50
D. None of these
Answer: Option B
Solution(By Examveda Team)
Here both the events are independent to each other.So, P(A U B) = P(A) + P(B) - P(A).P(B)
= 1/5 + 3/10 - 3/50.
= 1/2 - 3/50.
= 22/50.
= 11/25.
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P(A)=1/5, P(B)=3/10
Since, independent event, P(AUB)=P(A)+P(B)=1/5+3/10=1/2