Question

in an interview, there are 6 candidates who have been shortlisted for the content team- 4 phds and 2 mbas. if 2 candidates are chosen at random for the final round, what is the probability that both will be mbas?

Answer 1

Total number of candidates = 6

Total Phds= 6, Total Mbas= 2

Probability of selecting 2 candidates out of 4  Phds=$\frac{_{2}^{4}\textrm{C}}{_{2}^{6}\textrm{C}}$

Probability of selecting 2 candidates out of 2 mbas= $\frac{_{2}^{2}\textrm{C}}{_{2}^{6}\textrm{C}}$

Probability that both will be mbas = $\frac{_{2}^{2}\textrm{C}}{_{2}^{6}\textrm{C}}=\frac{1}{15}$ , as $_{2}^{2}\textrm{C}=\frac{2!}{2!\times 0!}= 1$ and $_{2}^{6}\textrm{C}=\frac{6!}{4!\times2!} =\frac{6\times5\times4!}{4!\times2}= 15$

Answer 2

Answer:

1/15 because u have answer option