Question

which scenario depicts two independent events?
a teacher is calling on students to present their reports. he calls on mario first and then chooses the next presenter from the remaining students.
the girls basketball team is playing against the boys basketball team. the coach chooses a captain for the girls team and then chooses a captain for the boys team.
yasmin is picking flowers from a garden to create a bouquet. she picks a flower, keeps it for the bouquet, and then she picks another.
felipe is making a dentist appointment. first he chooses the day for his appointment, and then he chooses the time from the available openings.

Explanation:

To determine independent events, we check if the outcome of one event affects the outcome of the other.

• For the first option: After calling Mario, the number of remaining students decreases, so the second event is affected by the first.
• For the second option: Choosing a captain for the girls' team does not affect choosing a captain for the boys' team, as they are separate teams.
• For the third option: After picking a flower and keeping it, the number of available flowers decreases, so the second pick is affected.
• For the fourth option: Choosing a day affects the available times (since times are specific to days), so the second event is affected.

Only the second scenario has two independent events.

Answer:

B. The girls’ basketball team is playing against the boys’ basketball team. The coach chooses a captain for the girls’ team and then chooses a captain for the boys’ team.