A standard 52-card deck contains four aces, twelve face cards, thirteen hearts (all red), thirteen diamonds (all red), thirteen spades (all black), and thirteen clubs (all black). Of the 133,784,560 different seven-card hands possible, decide how many would consist of the following (a) all spades (b) all red cards (c) all aces (a) There are | ways to have a hand with all spades. (Simplify your answer.) (b) There are ways to have a hand with all red cards. (Simplify your answer.) (c) There are ways to have a hand with all aces. (Simplify your answer.)From the sample space S ={1, 2, 3, 4,..., 15) a single number is to be selected at random. Given the following events, find the indicated probability. A: The selected number is even. B: The selected number is a multiple of 4. C: The selected number is a prime number. P(A) P(A) = (Simplify your answer. Type an integer or a fraction.)