A grocery store carries the following items. There are two main categories of fo

Question

A grocery store carries the following items. There are two main categories of food – conventional and organic ingredients – and four food groups. The data are shown in the following table. Food Groups Food Categories Grains Fruits Vegetables Meat Total Conventional 103 6 58 110 277 Organic 72 119 242 105 538 Total 175 125 300 215 815 If all of the organic items were accidentally displayed together without a sticker or label to mark their origin, what is the probability that you select an organic grain into your grocery basket? First compute for yourself the row (i.e., n1+, n2+), column (i.e., n+1, n+2, n+3, n+4), and overall (i.e., n++) totals, to aid in answering the question. Answer:

Explanation / Answer

it is given that all the organic items were accidentally diplayed together without a sticker or label to mark their origin, this means that we have total of 538 items to select from.

Now, we have to find the probability of selecting organic grains out of 538 organic items

so, possible outcome for selecting organic grain is 72 and total possible outcome is 538

so, the required probability = 72/538 = 0.1338

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