The investor wins a prize of $$250$ in a gameshow. She is then offered the opportunity to exchange this prize for a larger prize of $$600$ if she can answer one more question correctly. However, she will receive no prize at all if she gets the question wrong. She estimates her chances of answering the question correctly to be $50\%.$ Determine whether the investor should take this opportunity to exchange.

Yes, accept.

No$,$ not accept.