SECTION E1. A box contains 4 red and 2 blue chips. A chip is drawn at random and then replaced. A secondchip is then drawn at random.2. Show all the possible outcomes using a probability tree diagram3. Calculate the probability of getting:a) at least one blue,b) one read and one blue,c) two of the same color.

Answered: 1. A box contains 4 red and 2 blue…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A box contains 3 red and 4 blue marbles. Two marbles are drawn one at a time, without replacement. Use a PROBABILITY TREE to answer the following questions. a. Find the probability that both marbles drawn are red. b. Find the probability that the first marble drawn was blue, given that the second was red.
In a pencil case there are 6 markers. One red, orange, yellow, green, blue, and purple. Three markers randomly fall out. List all the possible combinations in an organized list. What is the probability that one of the markers is blue?
Box A contains 6 red and 10 white marbles. Box B contains 8 red and 5 white marbles. A marble is chosen from Box A and its color is recorded. That marble is then placed in Box B and a marble is chosen at random from Box B and its color is recorded. a. Fill in the probability tree to describe this situation. Red Red White Red White White b. Find the probability that a red marble is drawn second. c. Find the probability that you draw a white marble second, given the first marble drawn was white.
A box contains 3 red and 4 blue marbles. Two marbles are drawn at a time, without replacement. Use a probability tree to answer the following questions: a. Find the probability that both marbles drawn are red. b. Find the probability that the first marble drawn was blue, given that the second was red. Thank you!
The 52 cards in a standard deck of playing are described below. There are 4 suits: Spades, Hearts, Diamonds, and Clubs. Within each suit, there are 13 ranks: A,K,Q,J,10,9,8,7,6,5,4,3,2 If 5 cards are dealt, what is the probability of getting 2 cards of the same rank and 3 unmatched cards? Write 9 digits to the right of the decimal point in your answer. Enter your answer in the answer box and then click Check Answer. All parts showing Clear All Check Answer
8. The composition of the 108th Congress is 50 Republicans, 48 Democrats, and 2 Independent. A committee on aid to higher education is to be formed with 3 Senators to be chosen at random to head the committee. Find the probability that the group of 3 consists of a. All Democrats b. One Democrat, one Republican, and one Independent

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