### Home > INT2 > Chapter 3 > Lesson 3.1.2 > Problem3-17

3-17.

Out of the $20$ contestants in the state math championships, $10$ are girls. For this round, each contestant gets asked one question. The first question goes to a randomly chosen contestant.

1. What is the probability that the first contestant is a girl?

$\frac{\#\text { girls}}{\text {total } \# \text{ of contestants}}$

2. If the first contestant is a girl, what is the probability that the second contestant is a girl?

If the first contestant is a girl, how many girls are left and how many total contestants are left?

$\frac{9}{19}$

3. Is the probability that the second contestant is a girl independent of the first contestant being a girl?

Are your answers to parts (a) and (b) the same or different? What does this indicate about the events?