Suppose George wins 26% of all staring contests. (a) What is the probability that George wins two staring contests in a row? (b) What is the probability that George wins five staring contests in a row? (c) When events are independent, their complements are independent as well. Use this result to determine the probability that George wins five staring contests in a row, but does not win six in a row.
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.
Answer Parts A, B and C please.
![Suppose George wins 26% of all staring contests.
(a) What is the probability that George wins two staring contests in a row?
(b) What is the probability that George wins five staring contests in a row?
(c) When events are independent, their complements are independent as well. Use this result to determine the probability that George wins five staring contests in a
row, but does not win six in a row.
(a) The probability that George wins two staring contests in a row is
(Round to four decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60d2e4c0-3298-4181-bde8-7183824ebe71%2F1e2b53a1-b748-4160-8b17-72c17ed4e316%2Fxhk5kxqi_processed.png&w=3840&q=75)
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