New SAT Math Workbook

In the xy plane if lines a and b intersect at point 52

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Unformatted text preview: s the probability that the other will occur. Here are two general situations: * The random selection of one object from each of two groups (for example, the outcome of throwing a pair of dice) * The random selection of one object from a group, then replacing it and selecting again (as in a “second round” or “another turn” of a game) To determine the probability of two independent events both occurring, multiply individual probabilities. Example: If you randomly select one letter from each of two sets: {A,B} and {C,D,E}, what is the probability of selecting A and C? Solution: The correct answer is 6 . The probability of selecting A from the set {A,B} is 2 , while the 1 probability of selecting C from the set {C,D,E} is 3 . Hence, the probability of selecting A and C is 1×1 1 , or 6 . 23 1 1 12 3 number of ways the event can occur An SAT probability problem might be accompanied by a geometry figure or other figure that provides a visual display of the possibilities from which you are to calculate a probability. www.petersons.com Additional Geometry Topics, Data Analysis, and Probability 299 Example: If a point is selected at random from the circular region shown above, what is the probability that the point will lie in a shaded portion of the circle? Solution: The correct answer is .25 (or 4 ). The angles opposite each of the three 45° angles identified in the figure must also measure 45° each. Given a total of 360° in a circle, all of the eight small angles formed at the circle’s center measure 45°, and hence all eight segments of the circle are congruent. 2 1 The two shaded segments comprise 8 , or 4 (.25) of the circle’s area. The probability of selecting a 1 point at random in a shaded area is also 4 (or .25). 1 www.petersons.com 300 Chapter 16 Exercise 6 Work out each problem. For questions 1–4, circle the letter that appears before your answer. Question 5 is a gridin question. 1. If you randomly select one candy from a jar containing two cherry candies, two licorice candies, and one peppermint candy, what is the probabilit...
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This note was uploaded on 08/15/2010 for the course MATH a4d4 taught by Professor Colon during the Spring '10 term at Embry-Riddle FL/AZ.

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