Suppose the probability of winning a particular lottery is 1 in 15 Upper C 6 times 15C6•5 or StartFraction 1 Over 25,025 EndFraction If Juanita and Michelle each play the lottery on one particular evening, what is the probability that both will select the winning numbers if they make their selections independently of each other? The probability that both will select the winning numbers is approximately (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to the nearest hundredth as needed.)
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.
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