A computer programmer has an 18% chance of finding a bug in any given program. What is the probability that she does not find a bug within the first 10 programs she examines?

Respuesta :

Answer:  [tex](\frac{41}{50})^{10}[/tex]

Step-by-step explanation:

Since, According to the question,

The chance of finding a bug in a program = 18%

Thus, the probability of finding the bug in first attempt = [tex]\frac{18}{100}=\frac{9}{50}[/tex]

⇒ The probability of not finding any bug in first attempt = [tex]1 - \frac{9}{50} =\frac{41}{50}[/tex]

Similarly, in second attempt , third attempt, fourth attempt_ _ _ _ _ tenth attempt, the probability of not finding any bug is also equal to [tex]\frac{41}{50}[/tex]

Thus, the probability that she does not find a bug within the first 10 programs she examines

= [tex]\frac{41}{50}\times \frac{41}{50}\times\frac{41}{50}\times\frac{41}{50}\times\frac{41}{50}\times\frac{41}{50}\times\frac{41}{50}\times\frac{41}{50}\times\frac{41}{50}\times\frac{41}{50}[/tex]

= [tex](\frac{41}{50})^{10}[/tex]

Answer: 0.14

Step-by-step explanation:

The expert just didnt round the answer for you guys.