Question

A person can kill a bird with probability 3/4. He tries 5 times.

What is the probability that he may not kill the bird

• A. 243/1024
• B. 781/1024
• C. 1/1024
• D. 1023/1024

Answer 1

Answer: (C)

1/1024

Answer 2

Probability to kill a bird $p = \frac { 3 } { 4 }$, $p + q = 1$

Ž $q = 1 - p = 1 - \frac { 3 } { 4 } = \frac { 1 } { 4 }$ and $n = 5$ .

Probability that he may not kill the bird,

$P ( X = 0 ) = { } ^ { 5 } C _ { 0 } \left( \frac { 3 } { 4 } \right) ^ { 0 } \cdot \left( \frac { 1 } { 4 } \right) ^ { 5 - 0 }$ $= \frac { 1 } { 1024 }$ .