Your girlfriend calls and asks you to pick up soup from the grocery store with n

Question

Your girlfriend calls and asks you to pick up soup from the grocery store with no mention of brand or type. The store has 126 different soups. Campbell's has 72 different kinds of soups at the store, with 20 made with sea salt. Within all the other companies, only 1/3 of the soups have sea salt.

If all 126 types are equally represented, find the probability that you will select one with sea salt. (Round the answer to four decimals.)

If you limit your attention to the types with sea salt, and then pick randomly, what is the probability you do not get one from Campbell's? (Round the answer to four decimals.)

Explanation / Answer

Probability that you will select one with sea salt = P(campbell's with sea salt) + P(any other company, with sea salt)

= 20/126 + (126-72)x(1/3)/126

= 20/126 + 18/126

= 0.3016

P(campbell's | sea salt is in it) = P(campbells with sea salt)/P(sea salt)

=(20/126)/0.3016

= 0.5263

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