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 ?
11/32
13/16
None of the above
1/32
1/2​

Answer 1

Given:

The probability of a candidate getting selected = 1/2

Total number of candidates = 5

To find:

The probability that at least two candidates are selected.

Solution:

Probability of a candidate getting selected = 1/2

Probability of a candidate not getting selected = 1/2

Probability that at least two candidates will be selected = P(2 candidates selected) + P(3 selected candidates) + P(4 selected candidates) + P(5 selected candidates)

=5C2 (½)²(½)³ + 5C3 (½)³(½)² + 5C4 (½)⁴(½) + 5C5(½)⁵

= 5/16 + 5/16 + 5/32 + 1/32

= 13/16

Thus the required probability is 13/16.

Answer 2

Answer:

a

Step-by-step explanation:shbsbsbsbs