Four marbles are drawn in succession without replacement from a box containing 32 red marbles, 28 white marbles, 24 blue marbles, and 36 orange marbles. Find the probability that: 1) All marbles are red. 2) The first marble is white, the second is orange, the third is red, and the fourth is blue. 3) At most one is blue. 4) At least one is red 5) The first marble is orange, the second is not white, and the third is not red. 6) The first marble is red and the second is not blue.
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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