Answer:
The answer is [tex]\frac{15}{31}[/tex]
Step-by-step explanation:
In order to determine the probability, we have to know the classical probability.
Classical probability is a simple form of probability that has equal odds of something happening. The probability of a simple event happening is the number of times the event can happen, divided by the number of possible events.
Given:
A=amount of favorable outcomes
B=amount of possible outcomes
E=event
[tex]P(E)=\frac{A}{B}[/tex]
So that, we have to determine:
the amount of possible outcomes:
B=15 boys + 16 girls =31
the amount of favorable outcomes:
A=15 boys
E= boy's name is drawn at random event
[tex]P(E)=\frac{15}{31}[/tex]
Finally, the answer is [tex]\frac{15}{31}[/tex]
