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the venn diagram below shows the data collected at a sandwich shop for …

Question

the venn diagram below shows the data collected at a sandwich shop for the last six months with respect to the type of bread people ordered (sourdough or wheat) and whether or not they got cheese on their sandwich. use this data to answer the following question: what is the estimated probability that a randomly selected customer would want their sandwich with cheese? p(sourdough cheese and with cheese)=p(cheese)

Explanation:

Step1: Identify relevant parts of Venn - diagram

The parts of the Venn - diagram that represent sandwiches with cheese are the intersection of sourdough and with - cheese (10%) and the non - intersection part of with - cheese (20%).

Step2: Calculate probability

Add the two percentages representing with - cheese sandwiches. $P(\text{with cheese})=10\% + 20\%=30\%$

Answer:

30%