# Questions on Probability

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1. A card is drawn at random from a standard 52-card deck. Find the probability that the card is not a queen. 52 card 4 queens = 48 cards that are not queens. 48/52 = 12/13 or 0.923 = 92.3% probability of not drawing a queen from a standard 52-card deck. 2. Two fair dice are rolled. Find the probability that the sum of the two numbers is not greater than 5. 1+1, 1+2, 1+3, 1+4, 2+1, 2+2, 2+3, 3+1, 3+2, 4+1 are the 10 possible occurrences of two fair dice rolling numbers not greater than 5. With each dice having 6 sides there are 6*6=36 possible outcomes. So there is a 10/36 = 5/18 or 0.625 = 62.5% probability of two fair dice rolling a number combination not greater than 5. 3. This spinner is spun 36 times. The spinner landed on A 6 times, B on 21 times, and on C 9 times. Compute the empirical probability that the spinner will land on B. [pic] A=6, B=21, C=9. The empirical probability of the spinner landing on B is 21/36 = 7/12 or 0.583 = 58.3% 4. If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years. There are 31 days in May and 365 days in a year. 365 31 = 334 days that are not in May. 334/365 or 0.915 = 91.5% probability that his birthday is not in May. 5. The chart below gives the number of vehicle tags sold in each city. One car is selected at random from the cars with vehicle tags from these cities. What is the probability that this car is from Salem? There are 1773 occurrences of a car being from Salem