Question

18 of the 47 people surveyed said they were not interested in trying a sample of a new soft drink. find the probability that a randomly selected person was interested in trying the new drink. (1 point) 0.383 0.290 0.617 0.727

Explanation:

Step1: Calculate the number of interested people

The total number of people surveyed is \(n = 47\). The number of people not interested is \(18\). So the number of people interested is \(47−18=29\).

Step2: Calculate the probability

The probability \(P\) of an event is given by \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (interested people) is \(29\) and the total number of outcomes is \(47\). So \(P = \frac{29}{47}\approx0.617\)

Answer:

\(0.617\) (corresponding to the third option)