<p> Unit 1: Probability and Set Theory Independent and Dependent Events</p><p>M8D3A ~ Students will find the probability of simple independent events. M8D3B ~ Students will find the probability of compound independent events.</p><p>When and why do I use addition to determine probabilities? When and why do I use multiplication to determine probabilities? How can I use probability to determine if a game is fair or to figure my chances of winning the lottery?</p><p>Compound Events are two or more events that can happen either at the same time or one after the other.</p><p>There are two types of compound events:</p><p>Independent Events ~ if the occurance of one event does not affect the likelihood that the other event will occur. P(A and B) = P(A)  P(B)</p><p>Dependent Events ~ if the occurance of one event does affect the likelihood that the other event will occur. P(A and B) = P(A)  P(B given A)</p><p>Examples: Tell whether the events are independent or dependent.</p><p>1. You roll a number cube. Then you roll the number cube again. 2. You randomly draw a number from a bag. Then you randomly draw a second number without putting the first number back. Examples: Tell whether the events are independent or dependent. Then find the probability.</p><p>3. You roll a number cube and get a 5. Then you roll the number cube a second time and get a 5 again.</p><p>4. A container has 7 green buttons, 3 yellow buttons, and 4 blue buttons. You reach in and randomly draw out a blue button. Without replacing the blue button, you reach in again and randomly draw out a second blue button.</p><p>5. You spin a penny and a nickel on a table. The penny lands heads up and the nickle lands tails up.</p><p>6. You are playing the bingo card B I N G O show. The caller has 50 12 18 41 51 66 numbers left to call. What is 7 26 44 54 70 the probability that you will 6 27 FREE 58 63 get bingo with the next 2 numbers 5 23 39 52 73 called? 3 30 36 57 75</p>