Alejandro surveyed his classmates to determine who has ever gone surfing and who has ever gone snowboarding. Let A be the event that the person has gone surfing, and let B be the event that the person has gone snowboarding.
Has Snowboarded Never Snowboarded Total
Has Surfed36 189 225
Never Surfed12 63 75
Total48 252 300
Which statement is true about whether A and B are independent events?
AA and B are independent events because $P(A \mid B ) =P(A)=0.16$.
BA and B are independent events because $P(A \mid B ) =P(A)=0.75$.
CA and B are not independent events because $P(A \mid B ) =0.16$ and $P(A)=0.75$.
DA and B are not independent events because $P(A \mid B ) =0.75$ and $P(A)=0.16$.
| Has Snowboarded | Never Snowboarded | Total | |
Has Surfed | 36 | 189 | 225 |
Never Surfed | 12 | 63 | 75 |
Total | 48 | 252 | 300 |
AA and B are independent events because $P(A \mid B ) =P(A)=0.16$.
BA and B are independent events because $P(A \mid B ) =P(A)=0.75$.
CA and B are not independent events because $P(A \mid B ) =0.16$ and $P(A)=0.75$.
DA and B are not independent events because $P(A \mid B ) =0.75$ and $P(A)=0.16$.