Which two sets of events are most likely independent?A.Event A: A driver texts while driving.Event B: The driver gets into an accident.B.Event A: A girl enjoys singing.Event B: The girl becomes a lawyer.C.Event A: A woman lives in Alaska.Event B: The woman has a heavy winter coat.D.Event A: A man has short hair.Event B: The man's father lives nearby.SUBMITarrow_backPREVIOUS

Which two sets of events are most likely independent?A.Event A: A man likes iced tea.Event B: The man sings in a choir.B.Event A: A student practices free throws regularly.Event B: The student makes the basketball team.C.Event A: A student does all her homework for Unit 5.Event B: The student passes the Unit 5 test.D.Event A: A student has brown eyes.Event B: The student is a girl.SUBMITarrow_backPREVIOUS

Which two sets of events are most likely independent?A.Event A: A student makes the drama team.Event B: The student likes macaroni and cheese.B.Event A: A student gets enough sleep.Event B: The student is alert in class.C.Event A: A car is blue.Event B: The car lasts over 20 years.D.Event A: A woman buys cat toys.Event B: The woman has a cat.

When do we say that two events are independent events?*1 pointA. if the two events do not have any common outcomeB. if the two events have at least one common outcomeC. if the first event affects the outcome of the second eventD. if the first event does not affect the outcome of the second event

1. Two events are considered independent if: a) The occurrence of one event affects the occurrence of the other event. b) The occurrence of one event does not affect the occurrence of the other event. c) The occurrence of one event guarantees the occurrence of the other event. d) The occurrence of one event is impossible without the occurrence of the other event. 2. The formula for calculating the probability of independent events is: a) P(A ∩B) = P(A) * P(B) b) P(A ∩B) = P(A) + P(B) c) P(A ∩B) = P(A) / P(B) d) P(A ∩B) = P(A) - P(B) 3. If A and B are independent events, what is the probability of both events occurring? a) P(A ∩B) = P(A) * P(B) b) P(A ∩B) = P(A) + P(B) c) P(A ∩B) = P(A) / P(B) d) P(A ∩B) = P(A) - P(B) 4. Two events are considered dependent if: a) The occurrence of one event does not affect the occurrence of the other event. b) The occurrence of one event affects the occurrence of the other event. c) The occurrence of one event guarantees the occurrence of the other event. d) The occurrence of one event is impossible without the occurrence of the other event. 5. The formula for calculating the probability of dependent events is: a) P(A ∩B) = P(A) * P(B) b) P(A ∩B) = P(A) + P(B) c) P(A ∩B) = P(A) / P(B) d) P(A ∩B) = P(A) - P(B) 6. If A and B are dependent events, and A occurs first, what is the probability of both events occurring? a) P(A ∩B) = P(A) * P(B) b) P(A ∩B) = P(A) + P(B) c) P(A ∩B) = P(A) / P(B) d) P(A ∩B) = P(A) - P(B) 7. In the multiplication rule of probability for independent events, what is the relationship between P(A) and P(B)? a) P(A) = P(B) b) P(A) ≠ P(B) c) P(A) > P(B) d) P(A) < P(B) 8. In the multiplication rule of probability for dependent events, what is the relationship between P(A) and P(B|A)? a) P(A) = P(B|A) b) P(A) ≠ P(B|A) c) P(A) > P(B|A) d) P(A) < P(B|A) 9. If two events are independent, what is the probability of both events not occurring? a) P(A') * P(B') b) 1 - (P(A) * P(B)) c) P(A') + P(B') d) 1 - (P(A) + P(B)) 10. If two events are dependent, what is the probability of both events not occurring? a) P(A') * P(B') b) 1 - (P(A) * P(B)) c) P(A') + P(B') d) 1 - (P(A) + P(B))

Which of the following statements are true? Mark all that apply.If A and B are independent events, then the probability of Event B occurring is the same whether or not Event A occurs.If events A and B are independent, then P(A and B) = P(A) + P(B)If P(A) is the probability that event A will occur, then the probability event A will NOT occur is 1 - P(A).Two events are independent if they cannot occur at the same time.If events A and B are overlapping, then P(A or B) = P(A) + P(B) - P(A and B)