Answer: [tex]\dfrac{7}{15}[/tex]
Step-by-step explanation:
Given
There are 16 girls and 14 boys
The favorable chances that a boy name comes up are 14
Probability is given by the ratio of favorable chances to the total chances
So, the probability that a boy's name will be pulled is
[tex]\Rightarrow P=\dfrac{14}{14+16}\\\\\Rightarrow P=\dfrac{14}{30}\\\\\Rightarrow P=\dfrac{7}{15}[/tex]