Math 120 8.1 Sample Spaces, Events & Probability Experiment: Any process or study which results in the collection of data, the outcome of which is unknown: rolling a die, flipping a coin, gender of a child Event: The outcome of an experiment: rolling a 2, getting a heads, having a girl Sample Space (S): the set of all possible outcomes of an experiment Probability of an Event P(E): The likelihood that an event will occur. P(E) = n (E) the number of elements in E n (S) the number of elements in S Certain Event: P(E) = 1 Impossible Event: P(E) = 0 Note: 0 SP(E) S 1 Examples For each problem, write the sample space and then determine the probabilities. 1. Experiment: Rolling 1 die. Find the probability of the following events: a) rolling a 2 b) rolling an even number c) rolling a 7 d) rolling a number that is divisible by 3 e) rolling a number less than 7 2. Experiment: Flipping 2 coins. Find the probability of the events: a) getting exactly one head b) getting two heads c) getting at least one head Page 1 of 4