Hi
Does anyone know the answer to the following?
Q) If I played 4 games of cards and I had a 65% chance of winning each time, what are the chances of me losing all 4?
Thanks
The chance of losing the first is 35% or 0.35.
The chance of losing the first and the second is 0.35*0.35
The chance of losing the first and the second and the third is 0.35*0.35*0.35
The chance of losing the first and the second and the third and the fourth is 0.35*0.35*0.35*0.35
$${{\mathtt{0.35}}}^{{\mathtt{4}}} = {\mathtt{0.015\: \!006\: \!25}}$$
So, overall the chance of losing all four is approximately 0.015 or 1.5%
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