Definition The probability of an event is the likelihood of the event occurring. Apr 64:10 PM Apr 64:11 PM Predicting Probability Independent events when the outcome of one experiment does not affect the outcome of another experiment. Equally likely outcomes outcomes are equally likely if they have the same probability of occurring. Ex. Ex. When tossing a coin and throwing a die, the result of tossing the coin will not affect what number you roll on the die. When tossing a coin, you are equally likely to toss heads or tails. There is a 50 50 chance of either. Apr 64:12 PM Apr 64:17 PM Calculating Probability: Probability = number of favorable outcomes Total number of outcomes Apr 64:19 PM Apr 64:20 PM 1 Example 1: Suppose a die is rolled. A) What are the possible outcomes? C) What is the probability of rolling a 5? words: fraction: B) Are the outcomes equally likely? ratio: percent: Apr 64:21 PM D) What is the probability of rolling an even number? Apr 64:23 PM E) What is the probability of rolling a number 5 or greater? words: words: fraction: fraction: ratio: ratio: percent: percent: Apr 64:24 PM Apr 64:25 PM F) What is the probability of rolling a number less than 3? words: fraction: ratio: percent: Apr 64:25 PM Apr 64:26 PM 2 Example 2: What is the probability of each event occurring? A) Drawing a three of hearts Example 3: In a bag, there are 7 green marbles, 5 red marbles and 10 yellow marbles. What is the probability of pulling out a red marble? B) Drawing a face card C) Drawing a spade D) Drawing a number less than 4 E) Not drawing a face card Apr 64:27 PM Apr 64:27 PM Do pages 282283 #16, 8 Apr 81:28 PM 3
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