FOLD Simple Event Sample Space Probability Independent Events Relative FrequencyCompound Event Complement Addition Principle FOLD Fold edges to center and label outside like this
Sample Space Definition & Example The list of all possible outcomes for an activity. Pairs of Socks in Drawer 2 black 3 white 1 pink 1 green Activity – picking 1 pair of socks
Probability Definition & Example The chance an event will happen. Written as a number from 0 to 1. Impossible event - probability 0 Certain event – probability 1 Probability of event Z; P(Z) number of ways an event can occur number of possible outcomes P(black) = 2/7 P(white) = 3/7 P(green) = 1/7 P(orange) = 0 – no orange socks P(black, or white, or green, or pink) =7/7 or 1 or 100% Can be written as a decimal, fraction or percent
Relative Frequency Definition & Example The number of times an outcome occurs divided by the total number of trials or times attempted. Many trials – relative frequency = theoretical probability P(pink) = 1/7 I pick from the box 2 times and get pink both times. So… Relative frequency = 2/2 or 100%
Complement Definition & Example P(black) = 2/7 P(not black) or P(black’) = 1-(2/7) or 5/7 The opposite of an event happening
Simple Event Definition & Example Drawing one sock from the box. Only one pair/color is possible. An event with just one outcome possible at a time. Represented by one branch of a tree diagram.
Independent Events Definition & Example Drawing a pair of socks from the drawer and pulling out a pair of earrings from a jewelry box. Events that have no impact on how each other turn out.
Compound Event Definition & Example An event made up of 2 or more simple events. Picking a black sock , replacing it, AND picking a green sock. 2/7 * 1/7 = 2/49 MULTIPLY to get Probability of Compound Events One Event AND Another Event - MULTIPLY
Addition Principle Definition & Example If outcomes of 2 simple events are mutually exclusive (none the same), ADD their probability to find probability of both happening. Pick a pink sock OR pick a white sock. 1/7 + 3/7 = 4/7 One EventORAnother Event - ADD