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Counting and Probability Objective: Know and be able to use one fact:

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## Counting and Probability Objective: Know and be able to use one fact:

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**Counting and Probability**Objective: Know and be able to use one fact: What is the key to working every probability and counting problem? Counting and Probability 1**Of the 410 students at Kennedy High School, 240 study**Spanish and 180 study French. If 25 students study neither language, how many students study both? Counting and Probability 1**A is the set of positive integers less than 20; B is the set**of positive integers that contain the digit 7; and C is the set of primes. How many numbers are members of the region labeled x. A B C X Y Counting --2**In 2003, Thanksgiving was on Thursday, November 27, and**there are 30 days in November. If one day in November 2003 was chosen at random for a concert, what is the probability that the concert was on a weekend (Saturday or Sunday)? Counting and Probability 3**Tim has a six individual red socks and two individual blue**socks and two individual black socks in a draw? What is the probability that Tim randomly reaches into his draw and picks one red sock? Counting and Probability 4**Tim has a six individual red socks and two individual blue**socks and two individual black socks in a draw? What is the probability that Tim randomly reaches into his draw and picks two red socks? Counting and Probability 5**Tim has a six individual red socks and two individual blue**socks and two individual black socks in a draw? What is the probability that Tim randomly reaches into his draw and picks one red or one blue sock? Counting and Probability 6**An integer between 100 and 999, inclusive, is chosen at**random. What is the probability that all the digits of the number are odd? Counting and Probability 7**An integer between 100 and 999, inclusive, is chosen at**random. What is the probability that all the digits of the number are odd? Counting and Probability 8**In the figure below, a white square whose sides are 4 has**been pasted on a black square whose sides are 5. If a point is chosen at random from the large square, what is the probability that the point is in the black area? Counting and Probability 9**In the figure below, each of the small circles has a radius**of 2 and the large circle has a radius of 6. If a point is chosen at random inside the large circle, what is the probability that the point lies in the shaded region? Counting and Probability 10**A Special Problem**A jar has 5 marbles, 1 of each of the colors red, white, blue, green and yellow. If 4 marbles are removed from the jar, what is the probability that the yellow marble was removed? Counting and Probability 11