Question

5 candidates are applying for a job interview.Probability of getting selected is 1/2 for each candidate.What is the probability that atleast two candidates are selected?​

Answer 1

Answer:

Step-by-step explanation:

1

Answer 2

Given :

   5 candidates are applying for a job  

   Probability of getting selected is 1/2 for each candidate.

$P = .^{5} C_{2} (\frac{1}{2})^{2} (\frac{1}{2})^3 + . ^5 C_3(\frac{1}{2})^3 (\frac{1}{2})^2 + .^5C_4 (\frac{1}{2})^4 (\frac{1}{2})^1 + .^5C_5(\frac{1}{2})^5 (\frac{1}{2})^0$

   $= (\frac{1}{2})^5 [.^5 C_2+.^5C_3+.^5C_4+.^5C_5]$

   $= \frac{1}{3^2}$ × $26$

   $= \frac{13}{16}$

The Probability that at least two candidates are selected is 13/16.

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