Section 4.2 Learning Check||Please enter your Full Name:|Your Email Address:|Your ID Number or Password:|Suppose that we roll a red and a yellow die. Let A be the event that the number of spots showing on the red die is three or less and B be the event that the number of spots showing on the yellow die is more than three. The events A and B are # disjoint. %% complements. %% independent. %% reciprocals. %%|Event A has a probability 0.4. Event B has probability 0.5. If A and B are disjoint then the probability that both events occur is # 0.0 %% 0.2 %% 0.7 %% 0.9 %%|Event A occurs with probability 0.2. Event B occurs with probability 0.8. If A and B are independent then # P(A and B)=0.16. %% P(A and B)=1.0. %% P(A or B)=1.0. %% P(A or B)=0.16 %%|The outcome A is two times more likely to occur than A^c. Which one of the following is a correct assignment of probabilities? # P(A)=P(Ac)=1/2 %% P(A)=2/3, P(Ac)=1/3 %% P(A)=3/4, P(Ac)=1/4 %% P(A)=4/5, P(Ac)=1/5 %%|Suppose that you observe the gender of the next three babies born at a hospital. Which one of the following is the complement of the event "at least one of the next three babies is a girls"? # All of them is a girl. %% None of them is a girl. %% One of them is a girl. %% Two of them is a boy. %%|Ignoring twins and other multiple births, assume babies born at a hospital are independent events with the probability that a baby is a girl and the probability that a baby is a boy both equal to 0.5.
The probability that at least one of the next three babies will be a girl is # 0.125. %% 0.333. %% 0.750. %% 0.875. %%