To determine the probability of two or more independent events occurring together, you:Group of answer choicesmultiply the probabilities of each event happening separately (i.e., ½ x ½ = ¼).add their individual probabilities (i.e., ½ + ½ = 1).

If A and B are independent events, with P(A) = 0.50 and P(B) = 0.70, then the probability that A occurs or B occurs or both occur is:Group of answer choices0.10.0.20.1.20.0.85.

To determine the probability of a couple having two children and both are boys, you:Group of answer choicesmultiply the probabilities of each event happening separately (i.e., ½ x ½ = ¼).add their individual probabilities (i.e., ½ + ½ = 1).Next

Given P(A) = 0.9 and P(B) = 0.3, do the following.(a) If A and B are independent events, compute P(A and B).(b) If P(A | B) = 0.6, compute P(A and B).Step 1(a) If A and B are independent events, compute P(A and B).To compute P(A and B) means that we wish to find the probability that both A happened and B happened.Recall that two events are independent if the occurrence or nonoccurrence of one event does not change the probability that the other event will occur.We are given that A and B are independent events, so we can use the multiplication rule for independent events. It is also given that P(A) = 0.9 and P(B) = 0.3.P(A and B)  =  P(A) · P(B) =  (0.9) ·    =

Given two events, say, and are known to be mutually exclusive events. If the and , what is the probability that both event and event will happen together?Question 1Select one:0.4200.131

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))