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Question
executives for a company that prints logos on products are expanding the companys services to include souvenirs such as hats, shirts, and foam fingers for sports teams. the data they collected from a sample of 300 adults about their favorite sport to watch and their favorite souvenir to buy are shown in the table. a survey participant is randomly selected. let s be the event that the participant prefers soccer and let t be the event that the participant prefers a t - shirt. what is the value of p(s and t)? 0.01 0.03 0.26 0.50
Step1: Find the number of people who prefer soccer and T - shirt
From the table, the number of people who prefer soccer and T - shirt is \(3\).
Step2: Calculate the probability
The formula for probability is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). The total number of outcomes is \(300\). So \(P(S\text{ and }T)=\frac{3}{300}\).
Simplify \(\frac{3}{300}=\frac{3\div3}{300\div3}=\frac{1}{100} = 0.01\)
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\(0.01\)