Suppose the probability that you win a free 20 oz Pepsi in the "Pepsi under the cap game"is 1/12. You go to Stop N Go and purchase 10 Pepsi 20 oz...

Q1. Suppose the probability that you win a free 20 oz Pepsi in the "Pepsi under the cap game"is 1/12. You go to Stop N Go and purchase 10 Pepsi 20 oz bottles. Find the probabilitythat when you open these bottles, you have at least 2 winning caps.

Q2. There are 5 elective classes offered in the Spring semester that a particular student isinterested in: 2 English, 1 Social Science, 1 Math, and 1 Art class. Unfortunately, thestudent can only fit 2 electives in his schedule. If the student decides to randomly pickhis 2 Spring elective classes, find the probability the he selects exactly one English class.

q3. A product is made up of three parts that act independently of each other. If any of theparts is defective, the product is defective. Part one is defective 5% of the time, part twois defective 10% of the time, and part three is defective 15% of the time. Find theprobability of a defective product.

q4. The Office of Student Services claims that 30% of all business undergraduates haveabove a 3.0 GPA, 50% of all business undergraduates see their academic counselor on aregular basis, and 40% of the business undergraduates who see their academic counseloron a regular basis have GPA's above 3.0. Find the probability that a randomly selectedbusiness undergraduate has a GPA ≤ 3.0 and does not regularly visit their academiccounselor.

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