Solve Probability Question #6: Find the Correct Answer Now!

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The discussion revolves around solving a probability question, specifically question #6, where one participant confirms their answer as 28/55 for a probability involving red and black balls from two bags. The conversation shifts to question 11, where confusion arises regarding part C, which asks for the probability of selecting a four-digit number with at least one '6' under certain constraints. Participants suggest calculating the total numbers without a '6' and using that to find the desired probability. There is also a request for clearer presentation of solutions to adhere to forum standards.
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Its number 6 but I am unsure of my answer...
This was my attenpt at the question
 

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yes i got the same answer.It is (4/10)*(8/11)+(6/10)*(4/11)=28/55.(The first term for getting a red from first bag and again a red from the second bag and second term for picking a black in first bag and again picking a black in second bag)
 
Ahh thanks man
 
Guys I am stuck on the first part of part C on question 11. The next picture shows what I came up with but I have no idea how to continue it. The answer is 810 but all my attempts give me an answer over 1000 :\
 

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11 (c) says "There is at least one repeated digit, but no digit appears more than twice in a number. Find the probability that a four figure number chose at random from the from the set of numbers in case (a) above contains at least one 6".

I find that very confusing. The first sentence does not appear to have anything to do with the problem posed in the second sentence!

Problem 11(a) you calculated how many such numbers there were. Now calculate how many of them do NOT have a "6". The answer to the question asked in 11(c) is 1 minus (the number that have no "6" divided by the answer to (6)).
 
Ronaldo95163 said:
Its number 6 but I am unsure of my answer...
This was my attenpt at the question

Please try to respect PF standards, by typing up the questions and your answers. Your solution image comes out sideways, and I am unable to rotate it.
 
Ronaldo95163 said:
Guys I am stuck on the first part of part C on question 11. The next picture shows what I came up with but I have no idea how to continue it. The answer is 810 but all my attempts give me an answer over 1000 :\
I assume the last sentence in 11c is supposed to be a completely separate question.
Your attached working is impossible to decipher. Please explain your approach to 11c (first part).
 
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