A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the probability of randomly selecting a six or jack. (b) Compute the probability of randomly selecting a six or jack or seven. (c) Compute the probability of randomly selecting a four or diamond. a. P(six or jack) = (Round to three decimal places as needed.) !! b. P(six or jack or seven) = (Round to three decimal places as needed.) c. P(four or diamond) = (Round to three decimal places as needed.) %!

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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.