1) When randomly ordering the letters A, B, C, D, and E from left to right,...

1) When randomly ordering the letters A, B, C, D, and E from left to right, what the is probability that the first three on the left with be, in order, A B C. show how to solve.

2) Suppose 3 letters will be randomly selected from A, B, C, D, and E. what is the probability that the 3 letters chosen are A, B, and C?

3)Suppose that 3 balls will be randomly put into 3 buckets, with each ball being equally likely to be put into each of the buckets, independently of which buckets are chosen for any of the other balls. What is the probability that all of the balls will be put into the same bucket?

4)suppose that 3 balls will be randomly put into 3 buckets, labeled 1, 2, & 3, with each ball being equally likely to be put into each of the buckets, independently of which buckets are chosen for any of the other balls. What is the probability that at least one ball will be put into bucket 3?

5) Suppose that 3 balls will be randomly put into 3 buckets, labeled 1, 2, & 3, with each ball being equally likely to be put into each of the buckets, independently of which buckets are chosen for any of the other balls. What is the probability that each of the buckets will have one ball put into it?

Expert Solution

orchestra answered 1 year ago

12. Assume that we randomly choose from the letters {A, B, C, D, E, F, G,...

12. Assume that we randomly choose from the letters {A, B, C, D, E, F, G, H, I, J, K, L} (without replacing the letters), until they have all been taken. (a) Find the probability that the letters A and K are chosen successively in the given order. (b) Find the probability that the letters G, H, I, are chosen successively in the given order. c) Find the probability that the string "LAI" appears somewhere in the sequence of letters....

Suppose that a computer program randomly generates an 8-letter string from the letters A,B,C,D,E. For example,...

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One five-member committee consists of individuals A,B,C,D,E seated in a straight row from left to right....

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Suppose we continue to randomly select letters with replacement from the set {A, B, C, D,...

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1. a. How many permutations are there of the letters {A,B,C,D,E,F}? Of there, how many are...

1. a. How many permutations are there of the letters {A,B,C,D,E,F}? Of there, how many are even? b. Express the permutation BAFEDC in P6 in cycle notation and determine whether it is even or odd. c. Determine the composition BAFEDC*BCAFDE in P6. Is the composition even or odd? d. What is the members of P6 whose cycle notation (1345)(26)?

In how many ways can you rearrange the letters A, B, C, D, E?

1.Multiple-choice questions each have four possible answers left parenthesis a comma b comma c comma d right parenthesis(a, b, c, d)

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4 -letter words'' are formed using the letters A, B, C, D, E, F, G. How...

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