A die is loaded (Binomial distribution)

[Guest]

A die is loaded, such that in 10 independent trials the probability that an even number appears five times is twice the probability that an even number appears four times. What is the probability that an even number will appear in a single trial?

 

[pka]

Solve for p: combin(10,5)(p)<SUP>5</SUP>(1-p)<SUP>5</SUP>=2 combin(10,4)(p)<SUP>4</SUP>(1-p)<SUP>6</SUP>.