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NDA 2022
Exam
NDA
Year
2022
Subject
Mathematics
Chapter
Probability

NDA 2022 · Mathematics · Probability

There are 90 applicants for a job. Some of them are graduates. Some...

There are 90 applicants for a job. Some of them are graduates. Some of them have less than three years experience.
Number of
graduates
Number of non-
graduates
At least 3 years
experience
189
Less than 3 years
experience
3627
Let GG be the event that the first applicant interviewed is a graduate and TT be the event that first applicant interviewed has at least 3 years experience. What is P(G∩Tˉ)P(G \cap \bar{T}) equal to?

Options

  1. A15\frac{1}{5}
  2. B25\frac{2}{5}
  3. C35\frac{3}{5}
  4. D45\frac{4}{5}

Correct answer

B. 25\frac{2}{5}

Step-by-step solution

∴n(G∩T‾)=P\therefore \mathrm{n}(\mathrm{G} \cap \overline{\mathrm{T}})=\mathrm{P} (Graduates less than 3 years experience) =36P(G∩T‾)=3690=25\begin{aligned} & =36 \\ & \mathrm{P}(\mathrm{G} \cap \overline{\mathrm{T}})=\frac{36}{90}=\frac{2}{5}\end{aligned}
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