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PROBABILITY — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSPROBABILITY1 Mark
Question
Two students Anil and Ashima appeared in an examination. The probability that Anil will qualify the examination is 0.05 and that Ashima will qualify the examination is 0.10. The probability that both will qualify the examination is 0.02. Find the probability that at least one of them will not qualify the examination.
✓

Answer

Let E and F denote the events that Anil and Ashima will qualify the examination, respectively.
Given that
P(E) = 0.05, P(F) = 0.10 and P(E $\cap$ F) = 0.02.
P(at least one of them will not qualify)
= 1 - P(both of them will qualify)
= 1 - P(E $\cap$ F)
= 1 - 0.02
= 0.98

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