1yes its the correct answer!
A dice is thrown 2n+1 times, n ε N. The probability that faces with even numbers show up odd number of times is = ?
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2 Answers
1The probability that even number shows up odd number of times is same as it shows up 1,3,5,7.......2n+1 times
Which mathematically is.......
2n+1C1(1/2)(1/2)2n+2n+1C3(1/2)3(1/2)2n-2+2n+1C5(1/2)5(1/2)2n-4+....................+2n+1C2n+1(1/2)2n+1
This can also be represented as...........
{(1/2+1/2)2n+1 - (1/2-1/2)2n+1}/2 = {(1)2n+1 - (0)2n+1}/2 =1/2
Answering with Probability→1
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