Homework Answers
(b) 2 socks from 20 socks can be selected in 20C2 ways
Socks of the same color can be selected in 2*10C2 ways
Thus, the required probability = 2*10C2/20C2 = 9/19 = 0.4737
(c) 5 cards can be selected from a standard deck of cards in 52C5 ways
Number of ways of selecting cards such that all 5 are from the same suit = 4*13C5
The required probability = 4*13C5/52C5
= 0.00198
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b and c
b) There are 20 socks in a drawer, 10 white and 10 black....
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I have 10 socks in a drawer, some black and some white. If 2 socks are selected at random, the probability that they are both black is 1/3. What is the probability the 2 socks selected are not a matching pair? Assume each sock has the same probability of being selected
1. 2. 3. A drawer contains black, brown, and white socks. How many socks ensure two...
1. 2. 3. A drawer contains black, brown, and white socks. How many
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selected 20 persons by the random. What is the probability that
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probability that only 3 of them have the common month for their
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Question 3. (20 pts.) 1. A drawer contains...
Question 3. (20 pts.) 1. A drawer contains black, brown, and white socks. How many socks...
Question 3. (20 pts.) 1. A drawer contains black, brown, and white socks. How many socks ensure two of the same color? 2. With 2,0,3 and 6 how many three digits even numbers can be generated without replacements? 3. We selected 20 persons by the random. What is the probability that only 3 of them have the same birthday at August? Find the probability that only 3 of them have the common month for their birthday?
Question 3. (20 pts.) 1. A drawer contains black, brown, and white socks. How many socks...
Question 3. (20 pts.) 1. A drawer contains black, brown, and white socks. How many socks ensure two of the same color? 2. With 2,0,3 and 6 how many three digits even numbers can be generated without replacements? 3. We selected 20 persons by the random. What is the probability that only 3 of them have the same birthday at August? Find the probability that only 3 of them have the common month for their birthday?
1. A drawer contains black, brown, and white socks. How many socks ensure two of the...
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(10) Suppose a drawer contains 5 black socks and 3 white socks. Socks are selected one...
(10) Suppose a drawer contains 5 black socks and 3 white socks. Socks are selected one at a time without replacement until 2 black socks are found. Let X be the number of socks selected. The probability function f(1) = P(X = 2) for X is given by: 1 2 3 4 5 f(x) 0.357 0.357 0.214 0.072 (a) (2) Justify in one sentence why the range of X is 2-5 as given above. (b) (2) Prove why f(2) =...
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Mixed in a drawer are 8 blue socks, 8 white socks, and 8 gray socks. You pull out two socks, one at a time, without looking. Find the probability of getting 2 socks of the same color. The probability of getting 2 socks of the same color is (Type an integer or a simplified fraction.)
1. 2. 3. A drawer contains black, brown, and white socks. How many
socks ensure two of the same color? With 2,0,3 and 6 how many three
digits even numbers can be generated without replacements? We
selected 20 persons by the random. What is the probability that
only 3 of them have the same birthday at August? Find the
probability that only 3 of them have the common month for their
birthday?
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Question 3. (20 pts.) 1. A drawer contains black, brown, and white socks. How many socks ensure two of the same color? 2. With 2,0,3 and 6 how many three digits even numbers can be generated without replacements? 3. We selected 20 persons by the random. What is the probability that only 3 of them have the same birthday at August? Find the probability that only 3 of them have the common month for their birthday?
Question 3. (20 pts.) 1. A drawer contains black, brown, and white socks. How many socks ensure two of the same color? 2. With 2,0,3 and 6 how many three digits even numbers can be generated without replacements? 3. We selected 20 persons by the random. What is the probability that only 3 of them have the same birthday at August? Find the probability that only 3 of them have the common month for their birthday?
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xl In a drawer, there are 33 socks. 21 of them are crew socks, and the rest are low-cut ones. Of the crew socks, 12 are black, 7 are white and 2 are gray. Of the low-cut socks, 5 are black, 4 are white, and 3 are gray. a) If two socks are randomly selected without replacement, what is the probability that the 1st is a low-cut sock and the 2nd is either a white or a gray sock? A...
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9: In complete darkness, matching pair of socks. The drawer contains a vast plethora of black socks, white socks, grey socks, someone needs to reach into a chaotically arranged sock drawer to pull out a green socks, and red socks. 2 socks of a given color make a matching pair. Given that the individual cannot see into the drawer to ascertain which sock is which color, how a. many must be pulled from the drawer, at minimum, to guarantee at...
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