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Tham khảo tài liệu 'symbols of addition 5', ngoại ngữ, anh ngữ phổ thông phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | ------------------------------------- THEA MATH REVIEW ------------------------------------------- Example What is the probability of getting an even number or a multiple of 3 on the roll of a die 3 The probability of getting an even number on the roll of a die is -6- because there are three even numbers 2 4 6 on a die and a total of 6 possible outcomes. The probability of getting a multiple 2 of 3 is g because there are 2 multiples of three 3 6 on a die. But because the outcome of rolling a 6 on the die is an overlap of both events we must subtract 1 from the result so we don t count it twice. P even or multiple of 3 P even P multiple of 3 - P overlap 1 4 6 6 6 6 Compound Probability A compound event is performing two or more simple events in succession. Drawing two cards from a deck rolling three dice flipping five coins having four babies are all examples of compound events. This can be done with replacement probabilities do not change for each event or without replacement probabilities change for each event . The probability of event A followed by event B occurring is P A X P B . This is called the counting principle for probability. Note In mathematics the word and usually signifies addition. In probability however and signifies multiplication and or signifies addition. Example You have a jar filled with 3 red marbles 5 green marbles and 2 blue marbles. What is the probability of getting a red marble followed by a blue marble with replacement With replacement in this case means that you will draw a marble note its color and then replace it back into the jar. This means that the probability of drawing a red marble does not change from one simple event to the next. Note that there are a total of 10 marbles in the jar so the total number of outcomes is 10. 3 2 3.2 6 P red and P blue so P red followed by blue is 3 X w 3 . If the problem was changed to say without replacement that would mean you are drawing a marble noting its color but not returning it to the jar.
