that 4313 Imagine that you are going to throw a dart at the

that 4.3.13. Imagine that you are going to throw a dart at the ry-plane. Peer pressure demands you bet on one of the following three possibilities. What is your bet? Explain. (a) Neither coordinate of P will be rational. (b) Exactly one coordinate of P will be rational. (c) Both coordinates of P will be rational.

Solution

Q 4.3.13

As dart is thrown in xy plane - it is 2 dimensional.

My bet would be on c - where both coordinates of P will be rational. It is xy plane where all the numbers are in rational form.

First part of coordinate of P will be from x axis while second part of coordinate will be from y axis and both are rational here.