A wheel of fortune has 5 sectors, 1 green, 2 red and 2 yellow. The oered game has the following rules: If the wheel stops at the green sector, you win. If the wheel stops at a red sector, you loose. If the wheel stops at a yellow sector, you shall roll the wheel again.
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.
If the wheel stops at the green sector, you win. If the wheel stops at a red sector, you loose. If the wheel stops at a yellow sector, you shall roll the wheel again.
Calculate P(win after one roll), P(win after two rolls), P(win after three rolls) and P(win)
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