Mr. andrews, a grape merchant, inquires about a certain wine that he tastes at a party. the host tells him that from a total of ten bottles of that wine, six came from the north vineyard and four came from the south vineyard. from this information, the merchant concludes that he should visit the north vineyard for a sample of the grapes. later, he discovers that the wine in question came from a bottle labeled classic reserve, and 30 of 100 barrels of north vineyard wine were bottled with that label, while 130 of 200 barrels of south vineyard wine were bottled with that label.
given this new information, what is the probability that the wine came from the north vineyard?

he spend 5.1 minutes chatting with his friends

step-by-step explanation:

2/5+1/2=9/10

6/1-9/10=5 1/10

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step-by-step explanation:

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proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.