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?

Solutions

Expert Solution

orchestra answered 1 year ago

Next > < Previous

Related Solutions

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,...

Suppose that a computer program randomly generates an 8-letter string from the letters A,B,C,D,E. For example, the program might generate the string CCCCCCCC or DAAEDCBB. The letter in each of the 8 positions is chosen independently of the other positions, and each of the five letters is chosen with equal likelihood. What is the probability that the string contains at least one A or at least one B?

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

One five-member committee consists of individuals A,B,C,D,E seated in a straight row from left to right. How many distinct seating arrangements are possible? If E is seated far left, how many distinct seating arrangements are possible? If B is seated far right, how many distinct seating arrangements are possible? If A is seated in the center, how many distinct seating arrangements are possible? If C and D are far left and far right respectively, how many distinct seating arrangements are...

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

Suppose we continue to randomly select letters with replacement from the set {A, B, C, D, E, F}. Let T = be the number of letters we need to collect in order to have both letter E and letter F at least once. For example, suppose we have a sequence of letters CAEEBDF EA · · · . Then T = 7 in the above sequence. (a) Find the pgf of T. (b) Use the pgf of T in (a)...

How many ways are there to arrange the letters ‘a’, ‘b’, ‘c’, ‘d’, and ‘e’ such...

How many ways are there to arrange the letters ‘a’, ‘b’, ‘c’, ‘d’, and ‘e’ such that ‘a’ is not immediately followed by ‘e’ (no repeats since it is an arrangement)? Justify your answer using the product rule, the sum rule, and/or the subtraction rule .

Consider the cross: A/a; b/b; C/c; D/d; E/e x A/a; B/b; c/c; D/d; e/e a) what...

Consider the cross: A/a; b/b; C/c; D/d; E/e x A/a; B/b; c/c; D/d; e/e a) what proportion of the progeny will phenotypically resemble the first parent? b) what proportion of the progeny will genotypically resemble neither parent?

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)

1.Multiple-choice questions each havefour possible answers left parenthesis a comma b comma c comma d right parenthesis(a, b, c, d),one of which is correct. Assume that you guess the answers to three such questions.Use the multiplication rule to find P(CWW), where C denotes a correct answer and W denotes a wrong answerP(CWW)equals=2.Assume that random guesses are made for 3 multiple-choice questions on a test with 5 choices for eachquestion, so that there are N equals=3 trials, each with probability of...

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

4 -letter words'' are formed using the letters A, B, C, D, E, F, G. How many such words are possible for each of the following conditions? (a) No condition is imposed. Your answer is : (b) No letter can be repeated in a word. Your answer is : (c) Each word must begin with the letter A. Your answer is : (d) The letter C must be at the end. Your answer is : (e) The second letter must...

Subjects