Wild Card Lottery The Wild Card lottery is run in the states of Idaho, Montana, North Dakota, and South Dakota. You must select five different numbers between 1 and 33, then you must select one of the picture cards (Ace, King, Queen, Jack), and then you must select one of the four suits (club, heart, diamond, spade). Express all answers as fractions. a. What is the probability of selecting the correct five numbers between 1 and 33? b. What is the probability of selecting the correct picture card? c. What is the probability of selecting the correct suit? d. What is the probability of selecting the correct five numbers, the correct picture card, and the correct suit?
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.
Wild Card Lottery
The Wild Card lottery is run in the states of Idaho, Montana, North Dakota, and South Dakota. You must select five different numbers between 1 and 33, then you must select one of the picture cards (Ace, King, Queen, Jack), and then you must select one of the four suits (club, heart, diamond, spade). Express all answers as fractions.
a. What is the
b. What is the probability of selecting the correct picture card?
c. What is the probability of selecting the correct suit?
d. What is the probability of selecting the correct five numbers, the correct picture card, and the correct suit?
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