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probability

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    Probability of getting either a sum of 8 or at least one 4 in the roll of a pair dice

    Sum of 8 equal to 5/36 shown here. At least one 4 means one of three scenarios: (4, not 4) = 1/6 * 5/6 = 5/36 (not 4, 4) = 5/6 * 1/6 = 5/36 (4, 4) = 1/6 * 1/6 = 1/36 The phrase "or", means we add both probabilities (sum of 8) and (at least one 4): 5/36 + (5/36 + 5/36 + 1/36) 16/36 Simplify...
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    There are 113 identical plastic chips numbered 1 through 113 in a box. What is the probability of re

    There are 113 identical plastic chips numbered 1 through 113 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is greater than 44? We want 45, 46, … 113 The formula to get inclusive number count between and including 2 numbers is: Total numbers...
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    Suppose two number cubes are rolled. What is the probability of rolling a sum greater than 8?

    List out the sums greater than 8: (4, 5) (4, 6) (5, 5) (5, 6) (6, 6) (5, 4) (6, 4) (6, 5) Since there are 6 * 6 = 36 total outcomes, we have the probability of the sum greater than 8 as: 8/36 = 2/9
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    100 students were interviewed. 72 ate at A, 52 ate at B. How many ate at A and B?

    P(A U B) = P(A) + P(B) - P(A intersection B) 100 = 72 + 52 - P(A intersection B) P(A intersection B) = 72 + 52 - 100 P(A intersection B) = P(who ate at A and B) = 24
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