Independent & Dependent Probability

Understand independent vs. dependent probability. Practice calculating outcomes with and without replacement.

Match the definition to the correct term. If the outcome of one event does not affect the other event, the events are _. Independent Events _ is the chance of an event occurring. Probability If the outcome of one event does affect the other event, the events are _. Dependent Events There are 10 game pieces in a bag: 5 yellow, 2 red, and 3 green.You randomly select a game piece from above and do not put it back. What is the probability you choose yellow then red? 1 1 3 3 There are 10 game pieces in a bag: 5 yellow, 2 red, and 3 green.You randomly select a game piece from above, replace it, and draw another. What is the probability you select green both times? 3 9 6 Sort each probability into independent or dependent. Independent Event Spinning a spinner Flipping a coin Drawing a card and replacing it Dependent Event Drawing a red marble and then a green marble without replacement Choosing two different students from the class Drawing a king and then a queen without replacement Two socks are drawn from a drawer which contains one red sock, three blue socks, two black socks, and two green socks. Once a sock is selected, it is not replaced. Determine each probability. P(a black sock and then a green sock) 2 out of 8 1 out of 16 1 out of 14 4 out of 8 P(two blue socks) 3 out of 8 3 out of 28 9 out of 64 6 out of 8 There are three quarters, five dimes, and twelve pennies in a bag. Once a coin is drawn from the bag, and is replaced. If two coins are drawn at random, determine each probability. P(a quarter and then a penny) 9 out of 95 9 out of 100 15 out of 20 P(two pennies) 23 out of 380 9 out of 25 33 out of 95