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.

need to show work