A deli sandwich consists of one type of bread, one type of meat, and one type of sauce. The deli offers wheat, rye, and white bread; ham, turkey, roast beef, and tuna; ranch and southwest chipotle sauce. Javier is allergic to rye bread, tuna, and southwest chipotle sauce. He tells the server to assemble a random deli sandwich. What is the probability that Javier will suffer an allergic reaction?
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This is making me HUNGRY! Gonna go for a snack
Note that the number of possible different sandwiches that can be made = 3 * 3 * 3 = 27
Since he is allergic to rye, tuna and chipolte sauce, the the total possible sandwiches he could order that he is NOT allergic to = 2 breads * 2meats * 2 sauces = 8
So.....the probability that he orders a sandwich giving him an allergic reaction = 1 - 8/27 =
19 / 27