Question

there are 12 tables set up for a banquet, of which 3 have purple tablecloths. what is the probability that a randomly selected table will have a purple tablecloth? write your answer as a fraction or whole number. p(purple) =

Explanation:

Step1: Identify total and favorable cases

The total number of tables is 12, and the number of tables with purple tablecloths is 3.

Step2: Use probability formula

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, $P(\text{purple})=\frac{3}{12}$.

Step3: Simplify the fraction

$\frac{3}{12}=\frac{1}{4}$.

Answer:

$\frac{1}{4}$