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I had discussion with my friend(Person A) who is applying for one job assuming he will get interview call as it is through reference Person A is applying for one job -Probabilty of he getting Job Offer is $\frac12$.(either he gets or don't get) Me(Person B ) is applying to $5$ jobs each probability of getting each job Offer is $\frac12$ for every interview he attends. I know these events are independent all can occur at same time. How do I explain that probability of person B getting job offer is $\frac12*\frac12*\frac12*\frac12*\frac12= \frac{1}{32}$ which is actually less than probability of person A getting job.Or am I completely wrong will this be a case of additive probability. can some one please explain me

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  • $\begingroup$ This is not clear at all. Can you edit? If $B$ is applying to five jobs and has, independently, a $\frac 12$ chance of each then $\frac 1{32}$ is the probability of getting (or failing to get) all $5$. $\endgroup$ – lulu Jun 30 '18 at 1:10
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The probability that person A gets a job is $\frac{1}{2}$

The probability that person B gets a job is 1-P[B is rejected from ALL 5 jobs]

Hence the probability that person B gets a job is $1-(\frac{1}{2})^{5}=\frac{31}{32}$

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