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The table shows the seasons when 7 different students play a sport. fall sport || winter sport || spring sport student 1 x student 2 student 3 student 4 student 5 student 6 student 7 One of these seven students will be selected at random. Which of these events describes students 1, 4, 5, 6, and 7 without including any of the other students? . Plays a fall sport or a spring sport . Plays a fall sport and a spring sport . Plays a fall sport and not a winter sport Oo Does not play a winter sport Five hundred students are interviewed about their ways to get to school. The results are summarized in the table. bus middle school || 124 high school | 136 total 260 Select all the statements that must be true about a student chosen at random from those interviewed. 260 _} The probability that the selected student used the bus to get to school under the condition that the student is in middle school is 500" (1 The probability that the selected middle school or high school student used a car to get to school is 500 390 |} The probability that the selected student used a car to get to school or is a middle school student is . 500 _ +. 7 ae _ 32 L) The probability that the selected student used a car or bus to get to school under the condition that the student is in high school is 333 124 The probability that the selected student is in middle schoo! under the condition that the student takes the bus to school is eT" P(bus | middle school) > P(bus | high school) OP _ car) = 559 Select all the statements or equations that show that events A and B are independent. O P(A and B) = P(A) . P(B) O P(A or B) = P(A) + P(B) - P(A and B) P(A | B) = P(A) and P(B | A) = P(B) O P(A ) is the same whether event B happens or not. P(A and B) OPAB P(A)