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A boutique winery created a small batch of Dandelion wine for a wedding. Among 48 bottles, 13
bottles had leaking corks that

By Caroline

A boutique winery created a small batch of Dandelion wine for a wedding. Among 48 bottles, 13
bottles had leaking corks that resulted in Dandelion vinegar. The bride’s father selected 6 bottles at
random to check the quality of wine. What is the probability that all 6 bottles are wine?
a– 0.8497
b– 0.8677
c–0.1323
d– 0.1503
e– 0.9998​

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Caroline

14. Write a positive and a negative integer whose
sum is -7.​

Fill in the blank with the appropriate article, a, an, or the, or leave the space blank if no article is needed. 1. I want ____ ap

1 thought on “A boutique winery created a small batch of Dandelion wine for a wedding. Among 48 bottles, 13<br />bottles had leaking corks that”

  1. Given : A boutique winery created a small batch of Dandelion wine for a wedding. Among 48 bottles, 13 bottles had leaking corks that resulted in Dandelion vinegar. The bride’s father selected 6 bottles at

    random to check the quality of wine.

    To Find : the probability that all 6 bottles are wine

    a– 0.8497

    b– 0.8677

    c–0.1323

    d– 0.1503

    e– 0.9998​

    Solution:

    Total Bottles = 48

    Vinegar = 13

    Wine bottles = 48 – 13 = 35

    6 bottles out of 48 can be selected in ⁴⁸C₆ ways

    6 bottles of wines can be selected in ³⁵C₆ ways

    Probability that all 6 bottles are wine = ³⁵C₆ / ⁴⁸C₆

    = 0.13227

    = 0.1323

    option c is correct

    Probability that all 6 bottles are wine = 0.1323

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