Brett is a sandwich maker at a local deli. Last week, he tracked the number of peanut butter and jelly sandwiches ordered, noting the flavor of jelly and type of peanut butter requested.Creamy peanut butter Chunky peanut butterStrawberry jelly 7 6Grape jelly 8 3Orange jelly 2 3What is the probability that a randomly selected sandwich was not made with orange jelly and was not made with creamy peanut butter?Simplify any fractions
Question
Brett is a sandwich maker at a local deli. Last week, he tracked the number of peanut butter and jelly sandwiches ordered, noting the flavor of jelly and type of peanut butter requested.Creamy peanut butter Chunky peanut butterStrawberry jelly 7 6Grape jelly 8 3Orange jelly 2 3What is the probability that a randomly selected sandwich was not made with orange jelly and was not made with creamy peanut butter?Simplify any fractions
Solution
To solve this problem, we first need to find the total number of sandwiches made. We do this by adding up all the numbers in the table:
7 (Strawberry jelly with Creamy peanut butter) + 6 (Strawberry jelly with Chunky peanut butter) + 8 (Grape jelly with Creamy peanut butter) + 3 (Grape jelly with Chunky peanut butter) + 2 (Orange jelly with Creamy peanut butter) + 3 (Orange jelly with Chunky peanut butter) = 29 sandwiches in total.
Next, we need to find the number of sandwiches that were not made with orange jelly and were not made with creamy peanut butter. This would be the sandwiches made with strawberry or grape jelly and chunky peanut butter:
6 (Strawberry jelly with Chunky peanut butter) + 3 (Grape jelly with Chunky peanut butter) = 9 sandwiches.
So, the probability that a randomly selected sandwich was not made with orange jelly and was not made with creamy peanut butter is 9 out of 29, or 9/29.
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