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213W18 Assignment 2: Problem 8 Previous Problem Problem List Next Problem You ha

ID: 3040693 • Letter: 2

Question

213W18 Assignment 2: Problem 8 Previous Problem Problem List Next Problem You have either a $1-coin or a $2-coin in your right-pants pocket, but you are unsure which one You grab a $2-coin from your change container so you can buy yourself a bottle of water before your statistics class- and put it in your right-pants pocket. Prior to adding the $2-coin to you pocket, you surmise that the chance of you having a $1-coin is 5-times more than likely than having a $2-coin in your right-pants pocket. You arrive at school and order a bottle of water from a food service outlet on campus. The price of the bottle of water is $3.3. Since the only money you have on hand is in your right-pants pocket, you reach into your right-pants pocket and randomly pull out one of the two coins. It is a $2-coin What is the probability that you do not have enough money to purchase the water? Enter your answer to four decimal places. Preview My Answers Submit Answers You have attempted this problem 0 times. You have 5 attempts remaining.

Explanation / Answer

probability of getting $2 coin =P(initially having a $1 coin and then getting $2 coin+initially having a $2 coin and then getting $2 coin) =(5/6)*(1/3)+(1/6)*(2/3) =7/18

hence probability of not having eough money

=P(initially having a $1 coin and then getting $2 coin)/P(getting $2 coin) ==(5/6)*(1/3)/(7/18) =5/7 =0.7143

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