Question 14
A biased five-sided dice has faces labelled $1,2,3,4,5$ and has probability $p$ of coming up in an even number. Given that the probability that three tosses resulted in an odd number in six independent tosses of this dice is $8/225$, and that the possible values of $p$ are $p_1,p_2$, find $\left\lfloor\dfrac1{p_1p_2}\right\rfloor$.