Probability and Infinite Geometric Series Example - Coin Toss Question

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This VDO looks at the approach to solving probability question that results in nn infinite geometric series.

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[Blaze]

Good practice problem. Worth noting that you can also solve it by exploiting the symmetry. There are 2 paths that take 3 tosses to get you back to starting position and 2 paths of 3 tosses that win you the game. Therefore, the probability of winning is $p=p*2*(1/2)^3 + 2*(1/2)^3$ and solving for p gives 1/3.

[anilkumarsharma]

\tan\left(\frac{\operatorname{nPr}\left(xx-x-1, x\right)}{\operatorname{nCr}\left(xx-x-1, x\right)}\right)how probability calculated at infinity