If the probability that a student passes Mathematics is 0.7, passes English is 0.6, and passes both is 0.4, what is the probability that the student passes at least one subject? MCQ with Answer and Explanation
If the probability that a student passes Mathematics is 0.7, passes English is 0.6, and passes both is 0.4, what is the probability that the student passes at least one subject?
A. 0.9
B. 1.0
C. 0.7
D. 0.8
Answer: Option A
Solution (By JKSSB Mock Tests)
P(Math ∪ English) = P(Math) + P(English) - P(both) = 0.7 + 0.6 - 0.4 = 0.9. This uses the addition theorem to avoid double-counting students who pass both.
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