The Social Security Administration documented the marriage year of various couples, along with the number of children they had. One (1) Two (2) Three (3) Four or more (4) Total 1996 (A) 17 6 11 13 47 1997 (B) 15 9 7 36 1998 (C) 9. 20 11 16 56 1999 (D) 14 17 18 58 9 2000 (E) 18 8 13 44 Total 73 52 57 59 241 Use the above table to answer the following. 8. a. If a couple is selected at random, what is the probability the couple was married in 2000 and had two children? 241 124 b. If a couple is selected at random, what is the probability the couple was married before 1998 or had three children? 241 c. Compute P((BUC)n2). d. Compute P((ANE)U3). e. Compute P(EC 4) f. Compute P((BU D)Cn1)
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
need part C, D, E, F
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