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Question
at a wedding reception, 2 tables have yellow centerpieces and 28 tables have white centerpieces.
what is the probability that a randomly selected table will have a yellow centerpiece?
write your answer as a fraction or whole number.
p(yellow) =
Step1: Calculate total number of tables
Total tables = yellow tables + white tables = \(2 + 28=30\)
Step2: Use probability formula
Probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, favorable outcomes (yellow tables) \(n = 2\), total outcomes \(N=30\). So \(P(\text{yellow})=\frac{2}{30}\)
Step3: Simplify the fraction
\(\frac{2\div2}{30\div2}=\frac{1}{15}\)
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\(\frac{1}{15}\)