4. Five cards are dealt at random from a standard deck of 52 cards. What is the probabilitythat exactly two of the cards will be aces?a. Find the number of outcomes of selecting 2 aces out of the deck?Hint: Find „C,.Show your work here:b. Find the number of outcomes of selecting 3 other cards that are not aces?Hint: Find „C.Show your work here:c. Use the Multiplication Principle to find the total outcome of questions a. and b.Show your work here:d. Find the probability.P (exactly two of the cards are aces) =

a) The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!.…

Answered: Five cards are dealt at random from a…

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 bag of the same size small balls contains six Blue Balls 5 red balls, 5 yellow balls and 4 Green balls. what is the probability of selecting a blue or green ball on the first draw?
A bag of marbles contains 4 red, 3 blue, 2 green and 1 yellow marble. Half of the red and green marbles are glass, and all of the other marbles are polished stone. What is the probability of selecting: Add the colors together to determine how many marbles are in the bag. This will become the right side of the answer. Determine how many marbles exactly fit the specified criteria to find the left side. Remember to reduce if necessary. A yellow stone marble: ____ : ____ A blue or green stone marble: _____ : _____ Two red marbles in a row without replacement: _____ : _____ Three glass marbles in a row with replacement: _____ : _____
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PLEASE DO NOT LOOK UP THE ANSWER AND COPY AND PASTE IT. I CAN TELL IF YOU DO AND WILL GIVE YOU A THUMBS DOWN!!! Thank you 11a. Use the counting techniques from the last chapter. A bag contains two red marbles, three green ones, one fluorescent pink one, four yellow ones, and three orange ones. Suzan grabs three at random. Find the probability of the indicated event. She gets all the red ones, given that she gets the fluorescent pink one. 11b. Use the counting techniques from the last chapter. A bag contains three red marbles, four green ones, one fluorescent pink one, four yellow ones, and three orange ones. Suzan grabs four at random. Find the probability of the indicated event. She gets all the red ones, given that she does not get the fluorescent pink one. 11c. Use the counting techniques. A bag contains two red marbles, four green ones, one fluorescent pink one, four yellow ones, and three orange ones. Suzan grabs four at random. Find the probability of the indicated event. She…
Suppose that medical science has a cancer-diagnostic test that is 95% accurate on both those who do and those who do not have cancer. If 0.005 of the population actually has cancer, compute the probability that a particular individual has cancer, given that the test detected cancer.

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