14 adults and 20 children attended a piano recital. If two people are selected to receive door prizes at the recital, what is the probability that both will be children? Write your answer as a fraction and a decimal rounded to the nearest hundredth.

Answer: 0.34

Step-by-step explanation:

From the question, 14 adults and 20 children attended a piano recital. This means that there are 14 + 20 = 34 people who attended the paint recital.

If two people are selected to receive door prizes at the recital, the probability of selecting the first child will be 20/34 while the second child will be 19/33. To get the probability of both being children, we have to multiply the fractions

= 20/34 * 19/33

= 380/1122

= 0.34