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.

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 grain, fruit, 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.

Food Groups Food Categories Grains Fruits Vegetables Meat Total Conventional 165 15 218 162 560 Organic 10 110 82 53 255 Total 175 125 300 215 815

Explanation / Answer

Total items, n = 815.

Total organic grain, fruit or meat = 10+110+53 = 173.

Therefore, probablity of selecting an organic grain, fruit or meat = 173/815 = 0.212

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