I have recently interviewed for a number of jobs, and am wondering what the odds are of getting accepted for one based on the odds of each interview and the total number of interviews.
- I had $7$ interviews which had a $1$ in $10$ chance of securing a job ($10$ interviewees for every applicant).
- I had another interview with a $6\%$ chance, another with a $5\%$ chance, and another with a $14\%$ chance.
So in total, $10$ places with odds of $10\%$, $10\%$, $10\%$, $10\%$, $10\%$, $10\%$, $10\%$, $14\%$, $6\%$, $5\%$. I know that I cannot simply add the numbers, but I am also stumped in that I am trying to find the odds of not one job offer, but a minimum of one offer....so the odds of either one positive return, two positive return, etc. vs the odds of all $10$ interviews coming up negative.
Anyone know how to calculate this problem?