Suppose you have a biased coin that comes up heads 3/4 of the time.

If you flip it six times, what's the probability that you'll get exactly four heads?

(Rounded to the nearest hundredth)

Is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis.