there are 12 tables set up for a banquet, of which 3 have purple tablecloths. what is the probability that a…

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) =

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) =

Answer

Explanation:

Step1: Recall probability formula

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

Step2: Identify favorable and total outcomes

The number of favorable outcomes (tables with purple tablecloths) is 3, and the total number of outcomes (total tables) is 12.

Step3: Calculate probability

$P(\text{purple})=\frac{3}{12}=\frac{1}{4}$

Answer:

$\frac{1}{4}$