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 28 2 163 146 339 Organic 147 123 137 69 476 Total 175 125 300 215 815 If all of the items were accidentally displayed together without a sticker or label to mark their origin, what is the probability that you select an organic vegetable or meat in 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 items were accidentally diplayed together without a sticker or label to mark their origin, this means that we have total of 815 items to select from.

Now, we have to find the probability of selecting organic vegetable or meat out of 815 organic items

so, possible outcome for selecting organic vegetable or meat is 137+69 = 206 and total possible outcome is 815

so, the required probability = 206/815 = 0.2528

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