Question

if you apply for a job with globo corp, there is a 80% chance that you will get an interview. if you get an interview, there is a 49% chance that you will get the job. if you apply for a job with globo corp, what is the probability that you will get the job?
express your answer as a decimal, rounded to the nearest hundredth.
answer
0.39

Explanation:

Step1: Calculate the probability of getting the job

The probability of getting an interview is \(P(\text{interview}) = 0.8\).
The probability of getting the job given an interview is \(P(\text{job}|\text{interview})=0.49\).
By the multiplication rule of probability \(P(A\cap B)=P(A)\times P(B|A)\), where \(A\) is the event of getting an interview and \(B\) is the event of getting the job.
So \(P(\text{job})=P(\text{interview})\times P(\text{job}|\text{interview})\)
Substitute the values: \(P(\text{job}) = 0.8\times0.49\)

Step2: Perform the multiplication

\(0.8\times0.49=(8\times0.1)\times(49\times0.01)=(8\times49)\times(0.1\times0.01)\)
\(8\times49 = 392\), and \(0.1\times0.01=0.001\)
\(392\times0.001 = 0.392\)
Rounding \(0.392\) to the nearest hundredth gives \(0.39\)

Answer:

\(0.39\)