Question

Many everyday decisions, like who will drive to lunch or who will pay for coffee, are made by the toss of a (presumably fair) coin and using the criteria "heads, you will; tails, I will". This criterion is not quite fair, however, if the coin is biased (perhaps due to slightly irregular construction or wear). John von Newmann suggested a way to make perfectly fair decisions, even with a possibly biased coin. If a coun, biased so that P(h) =0.4600 and P(t)=0.5400, is tossed twice, find the probability of P(th).

Answer 1

the probability for tossing a coin twice can be found through the product of the probability of tossing a heads and the probability of tossing a tails.

`\begin{gathered} P(th)=(0.46)(0.54) \\ P(th)=0.2484 \end{gathered}`