1. a. A number plate consists of three letters followed by three digits (the ordering of thesymbols is important). Assume that there are 26 different letters and 10 different digitsand that each letter and digit can be used more than once.i.Write down an appropriate description of the set of all possible number plates.ii.What is the probability that the number plate starts with the letter A and ends withthe digit 0?iii. What is the probability that all symbols in the number plate are different?

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Answered: 1. a. A number plate consists of three…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Nine people apply for three jobs. Five of them are women, four of them are men. 1. If three people selected at random, what is a probability that all three are woman?(Give your answer as a fraction, you do not need to simplify) 2.lf three people selected at random, what is a probability that only one is woman?(Give your answer as a fraction, you do not need to simplify) 3. If three people selected at random, what is a probability that at least two are men?(Give your answer as a fraction, you do not need to simplify) 4.lf three people selected at random, what is a probability that at most one is a man?(Give your answer as a fraction, you do not need to simplify)
a code is made by selecting 7 different letters, one after another, from the 26 letters in the english alphabet. wheat probability weight should be assigned to each code? a. 1/P(26,7) b. 1/C(26,7) c. 1/26^7 d. 1/7^26 e. none of these are correct f. 1/182
20. If one card is drawn from an ordinary deck of cards, find the probability of getting these results. a. P(Ace) =. b. P(Dlamond) = c. P(Ace of Diamonds) = d. P(red card) = e. P(Red Queen) = f. P(black 5) =D g. a Jack of Clubs h. a face card I. a number between 5 and 9 j. NOT a diamond
4. 3. 5 balls in a box, three are red, and two are white. If two balls are drawn together from the box, compute (a, b ,c, and d). a. Probability that the two balls are red? b. Probability that the two balls are white? c. Probability that one ball is red, and other is white? 2. Red Whit ation:
Suppose that your friend Kamala randomly chooses a number between 1 and 13 (including both 1 and 13) and asks you to guess what it is. Answer the following questions: 1. What is the probability she is thinking of an even number? 2. What is the probability the number she is thinking of has a 1 in it? 3. What is the probability that the number she is thinking of is at least 5?
a. A coin is flipped 5 times, find the probability of getting exactly 4 heads. b. A coin is flipped 5 times. Find the probability of getting at least 3 heads.
choose the letter of the correct answer: A company is to make 5 character codes, the first three characters being letters from the alphabet followed by 2 digits from 0-9. What is the probability that the code starts with the letter A and ends with the number 0 if repetition is not allowed. a. 260 b. 2700/13 c. 13/2700 d. 1/260
A group consists of five men and six women. Five people are selected to attend a conference. a. In how many ways can five people be selected from this group of eleven? b. In how many ways can five women be selected from the six women? c. Find the probability that the selected group will consist of all women. a. The number of ways to select five people from the group of eleven is b. The number of ways to select five women from the group of six women is c. The probability is. (Type an integer or a simplified fraction.) G
1. How many different distinguishable ways can the letters of each word can be arranged? a. PROBABILITY b. CALCULATIONS c. DISTINGUISHABLES
19. If each coded item in a catalogue begins with a 4 distinct letters from the English alphabet followed by 3 distinct nonzero digits, find the probability of randomly selecting one of these coded items with the first letter a vowel and the last digit even. a. 10/117 b. 11/325 c. 13/910 d. 17/525
2). You pick 100 cards from a deck of cards one at a time. You select the cards after replacing each card picked and shuffling. Find the probability that you select at least 8 kings.

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