Question

Job Search You are spamming resumes to apply jobs. Each resume you send out has 1%...

Job Search

You are spamming resumes to apply jobs. Each resume you send out has 1% chance of getting a job offer. You have sent 100 resumes. What's your chance to get at least one job offer?

2. How many resumes in total do you have to spam so that you will have 90% chance to get at least one job offer?

Math   Statistics-And-Probability   
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Answer #1

P[ getting a job offer ] = p = 1% = 0.01

P[ getting no job offer ] = 1 - 0.01 = 0.99

Number of resume sent = 100

P[ At least one job offer ] = 1 - P[ zero job offer ]

P[ zero job offer ] = P[ getting no job offer ]^100

P[ zero job offer ] = 0.99^100

P[ zero job offer ] = 0.366

P[ At least one job offer ] = 1 - 0.366

P[ At least one job offer ] = 0.634

2. How many resumes in total do you have to spam so that you will have 90% chance to get at least one job offer?

P[ At least one job offer ] > 90% = 0.9

P[ At least one job offer ] = 1 - P[ zero job offer ]

1 - P[ zero job offer ] > 0.9

P[ zero job offer ] < 1 - 0.9

P[ zero job offer ] < 0.1

Let the number of resumes sent be n

P[ zero job offer ] = P[ getting no job offer ]^n

P[ zero job offer ] = 0.99^n < 0.1

or, n = 230

number of resumes sent is 230

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