If the coins are selected at random and placed into a random open slot, answer the following: 1. What is the probability that at least half the coins match color? nclude any and all work you do for this question. If needed state any assumptions you make to help solve this problem.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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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Hi, I got stuck in this problem. Firstly, I will provide the problem and a solution of someone else but it can be wrong. If it is wrong please show and explain (in few words what you do in the steps you did to solve it). If the answer I provided is correct, explain 3 things: 1) How did that person deduce the probability of match p = 3/6 or 1/2? 2) What does 'q' mean or have to do with this problem? 3) What do you plug into the calculator to get '0.015625' (Basically, I don't understand how to plug 6c0, 6c1, or 6c2)? THANK YOU

Let n-6
P= probability ap matching colaur = %-%
ニ
Probability e atleast half the cons match colour
P(X23) P(X -03)+ PCX=4)+ PCX=5)+
PCX =6)
slordard erior - P(X<3) 2
ニ
=(-PCX=0) +P(X=1)+PCK=2)]
ニ
-1-
ニ
+1
=1- 0.01562540.0937540.234375)
Clere O.65625
Tery
Transcribed Image Text:Let n-6 P= probability ap matching colaur = %-% ニ Probability e atleast half the cons match colour P(X23) P(X -03)+ PCX=4)+ PCX=5)+ PCX =6) slordard erior - P(X<3) 2 ニ =(-PCX=0) +P(X=1)+PCK=2)] ニ -1- ニ +1 =1- 0.01562540.0937540.234375) Clere O.65625 Tery
Imagine you have a game where you put colored coins into one of three slots. You can stack the coins
two high in each slot. Each of the 6 positions has a unique color assignment and a corresponding
colored coin. The picture below will help to visualize this game.
OOO
If the coins are selected at random and placed into a random open slot, answer the following:
1. What is the probability that at least half the coins match color?
Include any and all work you do for this question. If needed state any assumptions you make to help
solve this problem.
Transcribed Image Text:Imagine you have a game where you put colored coins into one of three slots. You can stack the coins two high in each slot. Each of the 6 positions has a unique color assignment and a corresponding colored coin. The picture below will help to visualize this game. OOO If the coins are selected at random and placed into a random open slot, answer the following: 1. What is the probability that at least half the coins match color? Include any and all work you do for this question. If needed state any assumptions you make to help solve this problem.
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