Warm-up ■ Solve the System: Solve and Graph the solution: ■ 2x + 3y = 5 ■ -7x + 6y = -1 3 ≤ 2𝑥 − 5 < 7 PROBABILITY PART TROIS 11.5 And Means Multiply Consider whether or not the first event effects the second event When selecting objects, WITH REPLACEMENT, means the object was replaced before choosing the next object. WITHOUT REPLACEMENT, means that you continue to select objects without returning them. Examples ■ You roll two dice, what is the probability of rolling a 2 on the first and a multiple of 3 on the second? ■ You have 5 dimes and 4 nickels in your pocket. You reach into your pocket and pull out one coin, put it back, and then pull out another coin. What is the probability that you pulled a nickel and then a dime? ■ What is the probability of pulling a dime, not replacing it, then pulling another dime? Examples ■ A teacher needs to send 2 students to a conference. He randomly selects two students from a group of 2 freshman, 3 sophmores, 5 juniors, and 3 seniors. What is the probability that a junior and then a senior is taken? ■ What is the probability that two freshman are taken? Homework
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