Phillip flips an unfair coin eight times. This coin is twice as likely to come up heads as tails. How many times as likely is Phillip to get exactly three heads than exactly two heads

Respuesta :

4 times as likely is Phillip to get exactly three heads than exactly two heads

A chance that something might exist, happen, or be true : the state or fact of being possible is called possibilities.

Possibility is the universal set whereas probability is the subset. Possibility is surer to occur than probability. Possibility has its opposite in the word impossibility whereas probability has its opposite in the word improbability.

How to solve?

We can find;

P (three heads) =  C(8,3)(2/3)^3(1/3)^5  = 448 / 6561

P (two heads) = C(8,2)(2/3)^2(1/3)^6  = 112 / 6561

So......     448 / 112   =  4 times more likely to get 3 heads than 2 heads

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