2.12 A permutation of the word "white" is chosen at random. Find the probability that it...
If a permutation is chosen at random from the letters "AAABBBCCC", what is the probability that it begins with at least 2 A's? Round your answer to 6 decimal places as needed. Preview
Find the number of different arrangements of the letters in the word (CAVALRY) and illustrate linearly. (a) Ends with a vowel (b) Has a consonant in the middle
A person draws 5 cards from a shuffled pack of cards. Find the probability that the person has at least 3 aces. Find the probability that the person has at least 4 cards of the same suit. Two cards are drawn from a pack, without replacement. What is the probability that both are greater than 2 and lesser than 8. A permutation of the word "white" is chosen at random. Find the probability that it beings with a vowel. Also...
5. One shuffles at random the letters in RAZZMATAZZ. Find the probability that the new word also containts (5p) two non-adjacent pairs of 'ZZ':s, e.g., ZZAZZTARAM or MZZARAZZTA (but not AZZZZTARAM)? (5 p)
A point is chosen at random on a line segment of length 12. Find the probability that the ratio of the shorter to the longer segment is less than 3/20.
One of two urns is chosen at random with one just as likely to be chosen as the other. Then a ball is withdrawn from the chosen urn. Urn 1 contains 5 white and 2 red balls, and urn 2 has 4 white and 3 red balls. If a white ball is drawn, what is the probability that it came from urn 1?
What is the probability that a randomly chosen four letter word will begin with HA
One of two small classrooms is chosen at random with equally likely probability, and then a student is chosen at random from the chosen classroom. Classroom #1 has 5 boys and 13 girls. Classroom #2 has 15 boys and 9 girls. What is the probability that Classroom #2 was chosen at random, given that a girl was chosen? Your answers should be rounded to 4 digits after the decimal. A 0.6582 B 0.3418 C 0.1875 D 0.3750 E 0.2708 F...
3. Consider rearranging the letters in the word "FATHER" (a) Find the number of 6 letter "words that can be formed by considering all possible permutations of the letters in the word "FATHER" (b) How many of these words begin with "F" and end with "R"? (c ) What is the probability of forming a six letter word that begins with F" and ends with "R" by randomly rearranging the letters in "FATHER?
Two balls are chosen from an urn without replacement. 3 are black and 4 are white. Find a) the probability that both of the balls are the same color b) given that at least one of the balls is white, what is probability that the other ball is white?