The number of combinations of eight items taken three at a time can be written asC(8-3)C(3, 8)P(8,3)C(8,3)

given data, the number of combination of eight items taken three at a time can be written =?we have…

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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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a. -4メ + 4y -2メ + 2y ニ -1 -32 :- 3 3メ + 1y -32 = -3 3x1-0.1x2 - 0.2x3 =7.85 0.1メ, + 子メ2 - 0.3 メ3 :-19.3 0.3メー0.2メ2t 10メ3 b. : 71.4
The game of American Roulette consists of spinning a wheel in one direction and then spinning a small ball in the other direction, see videoOpens externally [+]. The ball will eventually fall into a slot of the wheel. The wheel is divided into 38 slots. There are 36 slots numbered from 1 through 36 and 2 slots which are labeled with zero "0" and double zero "00". The zero and double zero are colored green, 18 slots are colored red, and the other 18 are colored black. See the below picture.A common bet in the game is to bet on red or black which pays even money. For example, if you bet a $1.00 on red and the ball falls into a red slot, then you win $1.00. Otherwise, you lose $1.00. Suppose you play the game and you bet $6 on red. Let X = the amount you win.a.) Complete the probability distribution table. (Write answers as fractions.) X P(X) -6 6 b.) Find the expected value (mean) of X.μμ = (Write you answer as fraction or round to two decimal places.)c.) Find the…
I'm struggling with variations! Scenario: You build a deck of cards from a collection. In the collection, there are 7x a cards and 8x b cards. What is the number of possible ways to choose 4 cards that are all a cards? The last time I asked this question it was all mushed up in a single line of text. Can you please separate the steps by 'enter' please and thank you
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Dr. Lawrence has minimized his wardrobe during the fall of 2020, since there's no reason to dress up fancy these days. He has three pairs of jeans, five sweatshirts, and four hats that he puts to regular use. If he were to select his outfit for the day at random, how many different jean-sweatshirt-hat combinations are there? 6.
If n(B) = 415, n(ABC) = 120, n(ABC) = 145, and n(ACnBn c) = 125, what is n(ACnBn c9)?
A survey of 145 college students was done to find out what elective courses they were taking. Let A=the set of those taking art, B= the set of those taking basketweaving, and C= the set of those taking canoeing. The study revealed the following information.n(A)= 45n(B)= 55n(C)=40n(AnB)= 12n(AnC)= 15n(BnC)= 23n(AnBnC)= 2 How many students were not taking any of these electives?
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Allergic reactions to poison ivy can be miserable. Plant oils cause the reaction. Researchers at Allergy Institute did a study to determine the effects of washing the oil off within 5 minutes of exposure. A random sample of 1000 people with known allergies to poison ivy participated in the study. Oil from the poison ivy plant was rubbed on a patch of skin. For 500 of the subjects, it was washed off within 5 minutes. For the other 500 subjects, the oil was washed off after 5 minutes. The results are summarized in the following table. Reaction None Mild Strong Column Total Within 5 Minutes After 5 Minutes 391 65 44 500 66 341 93 500 Row Total 457 406 137 1000 Let's use the following notation for the various events: W= washing oil off within 5 minutes, A = washing oil off after 5 minutes, N = no reaction, M = mild reaction, S = strong reaction. Find the following probabilities for a person selected at random from this sample of 1000 subjects. (Use 3 decimal places.)
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The number of combinations of eight items taken three at a time can be written as C(8-3) C(3, 8) P(8,3) C(8,3)