A dartboard has 10 equally sized slices numbered from 1 to 10. Some are grey and some are white. The slices numbered 1, 2, 3, 5, 6, 8, and 9 are grey. 10 1 The slices numbered 4, 7, and 10 are white. 8 A dart is tossed and lands on a slice at random. Let X be the event that the dart lands on a grey slice, and let P(X) be the 7 6 5 4 probability of X. Let not X be the event that the dart lands on a slice that is not grey, and let P(not X) be the probability of not X. (a) For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. Outcomes Probability Event 123 456 78 9 10 P(x) = [] OO00 O000 O0 P(not X) = 0 not X 91
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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