The probability that an Accountant's job applicant has a B. Com. Degree is 0.85 , that he is a CA is 0.30 and that he is both B. Com. and CA is 0.2...

Question

The probability that an Accountant's job applicant has a B. Com. Degree is 0.85 , that he is a CA is 0.30 and that he is both B. Com. and CA is 0.25 out of 500 applicants, how many would be B. Com. or CA?

Accepted Answer

Option d: 0.90. Solution: Let B represent the event that an applicant has a B. Com. Degree, and C represent the event that an applicant is a CA. 1. We are given the following probabilities: - P(B) = 0.85 - P(C) = 0.30 - P(B C) = 0.25 2. The probability that an applicant is a B. Com. or a CA is given by the addition theorem of probability: P(B C) = P(B) + P(C) - P(B C) P(B C) = 0.85 + 0.30 - 0.25 = 0.90 3. Although the question asks "how many" out of 500 applicants (which would be 500 × 0.90 = 450 applicants), the options provided correspond to the probability value of 0.90 . 4. Thus, matching the options, the probability is 0.90 , which corresponds to Option D. Hence, Option D is the correct answer.

The probability that an Accountant's job applicant has a B. Com. Degree is $\displaystyle 0.85$ , that he is a CA is $\displaystyle 0.30$ and that he is both B. Com. and CA is $\displaystyle 0.25$ out of $\displaystyle 500$ applicants, how many would be B. Com. or CA?

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The probability that an Accountant's job applicant has a B. Com. Degree is 0.85\displaystyle 0.850.85, that he is a CA is 0.30\displaystyle 0.300.30 and that he is both B. Com. and CA is 0.25\displaystyle 0.250.25 out of 500\displaystyle 500500 applicants, how many would be B. Com. or CA?