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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. Homework Help ✎

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

  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?

  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?