Question

Shams is a trainee in BEd TTP program. There are two possibilities, either Shams may get full time job or may be offered internship. The probability that Shams gets a full time job is 2/5 and the probability that he will reject the full time job proposal is 2/7. The probability that Shams gets internship is 3/5 and the probability of acceptance of internship is 3/7. What is the probability that Shams will be in BEd college after result declaration?
1. \(\frac{{24}}{{35}}\)
2. \(\frac{{19}}{{35}}\)
3. \(\frac{{16}}{{35}}\)
4. \(\frac{{32}}{{35}}\)

Answer 1

Correct Answer - Option 2 : \(\frac{{19}}{{35}}\)

Concept:

Given:

\(Probablity~that~Shams~gets~the~full~time~job~p\left( j \right) = \frac{2}{5}\)

\(Probability~that~he~will~reject~the~full~time~job~proposal = \frac{2}{7}\)

\(Probability~of~acceptance~of~full~time~job~Proposal = \frac{5}{7}\)

\(Probability~that~Shams~gets~internship,P\left( I \right) = \frac{3}{5}\)

\(Probability~that~he~will~accept~the~internship~proposal = \frac{3}{7}\)

\(Probability~of~rejection~of~internship~proposal = \frac{4}{7}\)

Shams will be in BEd college if, he gets job proposal and accepts it or he gets Internship proposal and accepts it.

Then, The required probability, \(P = \frac{2}{5} \times \frac{5}{7} + \frac{3}{5} \times \frac{3}{7} = \frac{{19}}{{35}}\)