Captain Ashley has a ship, the H. M.S Crimson Lynx. The ship is two furlongs from the dread pirate Umaima and her merciless band of thieves.
1
of hitting the pirate ship. If her ship has
If her ship hasn't already been hit, Captain Ashley has probability
been hit, Captain Ashley will always miss.
2
1
3
If her ship hasn't already been hit, dread pirate Umaima has probability
her ship has been hit, dread pirate Umaima will always miss.
of hitting the Captain's ship. If
If the Captain and the pirate each shoot once, and the pirate shoots first, what is the probability that both
the pirate and the Captain hit each other's ships?

1- 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. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?