Math Problem Statement
There are two identical boxes A and B filled with equal number of balls which are identical in all aspects except for their color. There are n + 1 number of white balls and n + 1 number of black balls in the box A. And also, there are n + 2 number of white balls and n number of black balls in the box B. There is a biased coin. The probability of obtaining head when tossed is 1/3 . When the coin is tossed, if the head is obtained then a ball is taken out from the box A and if the side with the value is obtained, then a ball is taken out from the box B. Here n ∈ Z+, n > 1. (i) Two balls are taken out from the box randomly one after the other without any replacements. If the probability of the balls taken out be a black color ball and a white color ball is 5/9, find the value of n.
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Conditional Probability
Combinatorics
Formulas
Probability of compound events
Theorems
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Suitable Grade Level
Advanced High School or College
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