1. If the graduate applies to all 10 companies, what is the probability that she will get at least one offer?
2. If she can apply to only one company, based on cost and success probability criteria alone, should she apply to company 5? Why or why not?
3. If she applies to companies 2, 5, 8, and 9, what is the total cost? What is the probability that she will get at least one offer?
4. If she wants to be at least 75% confident of getting at least one offer, to which companies should she apply to minimize the total cost?
5. If she is willing to spend $1,500, to which companies should she apply to maximize her chances of getting at least one job?

To provide accurate answers to your questions, I need the following additional details:

1. The **probabilities** of getting an offer from each of the 10 companies.
2. The **costs** associated with applying to each of the companies.

These are critical to determine the probabilities and cost assessments mentioned in your queries. Could you please provide this information?

Once I have those, I’ll calculate the necessary probabilities and make the cost-benefit analyses for you.

Explore the probability of receiving at least one job offer when applying to multiple companies, along with cost optimization strategies. This problem covers probability calculations and cost-benefit analysis, focusing on job applications to 10 companies, and is suitable for undergraduate or advanced high school students.

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