The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below. Business degrees Nonbusiness degrees Total Male 189,956 639,797 829,753 Female 170,206 931,479 1,101,685 Total 360,162 1,571,276 1,931,438 (a) Find the probability that a randomly selected student is male, given that the student received a business degree is = b) Find the probability that a randomly selected student revieved a business degree, given that the student is female is =
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.
The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. Complete parts (a) and (b) below.
Business degrees Nonbusiness degrees Total
Male 189,956 639,797 829,753
Female 170,206 931,479 1,101,685
Total 360,162 1,571,276 1,931,438
(a) Find the
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