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Compound Events Compound event - an event that is a combination of two or more stages P(A and B) - P(A) X P(B)

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Independent and Dependent Events A: Independent Events - events for which the occurence of the 1st event DOES NOT affect that of the second event. P ( 2) = P ( 8) = pick a card, put it back, pick a second card... P (A) * P (B) 1.) P(2,8) Find the probability.

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2.) You roll a die. What is the probability that you roll a 3 on the first roll and a number greater than 4 on the second roll? 3.) What is the probability that you roll a number 5 on the first roll and a number less than 5 on the second roll? 4.) You toss a quarter three times. What is the probability of landing on heads all three times?

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B: Dependent Events - events for which the occurence of the 1st event DOES affect that of the second event. P (A) * P (B after A) What is the probability of selecting a 10 and an 8 without replacing?

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ex: A bag contains 3 red and 2 blue marbles. a). What is the probability of choosing 2 blue marbles without replacement? b). What is the probability of choosing 1 red and 1 blue marble without replacement?

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Determine whether the events are independent or dependent. Then determine the probability. 1. You select a card from a standard deck without putting it back. You select a second card. What is the probability of drawing two kings? 2. A drawer contains 3 red paperclips, 4 green paperclips, and 5 blue paperclips. One paperclip is taken from the drawer and is NOT replaced. Another paperclip is taken from the drawer. What is the probability that the first paperclip is red and the second paperclip is blue? 3. You roll a number cube and then roll it again. What is the probability of rolling two even numbers? Demonstrate Understanding:

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4. Three girls and two boys are running for class president and vice president. The first name drawn from the bag will be president, the second name will be vice president. What is the probability that both officers will be girls? 5. A student has 6 blue socks and 4 pink socks. What is the probability for the following if after you take the 1st sock, you do not replace it: a. a blue sock and then a pink sock? b. two blue socks? c. two pink socks?

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6.) 7.)

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