Question

which events are independent? choose all that apply. a. there is lightning outside. the baseball game is canceled due to lightning. b. ahmad flips a coin and records the result. ahmad flips the same coin again and records the result. c. one name is randomly chosen from a bag. the name is not replaced and another name is randomly chosen. d. jason votes for president of the city council in the morning. hae sung votes for president of the city council in the afternoon.

Explanation:

• In option A, the lightning causes the baseball - game cancellation, so they are dependent.
• In option B, the result of the first coin - flip does not affect the result of the second coin - flip. Each flip is an independent event.
• In option C, since the first name is not replaced, the probability of choosing the second name is affected by the first choice, so they are dependent.
• In option D, Jason's vote and Hae Sung's vote do not influence each other as they are separate voting actions at different times.

Answer:

B. Ahmad flips a coin and records the result. Ahmad flips the same coin again and records the result.
D. Jason votes for president of the city council in the morning. Hae Sung votes for president of the city council in the afternoon.