Discuss the below:
Q1) A very rich investor has a small amount of spare cash which she wishes to invest. She has four options to choose from. She thinks company 1 has a 43% chance of giving her a return of $327, otherwise she believes it will lose her $296. She thinks company 2 has a 81% chance of giving her a return of $228, otherwise she believes it will lose her $1043. She thinks company 3 has a 46% chance of giving her a return of $181, otherwise she believes it will lose her $187. She thinks company 4 has a 33% chance of giving her a return of $705, otherwise she believes it will lose her $205. Based on these opinions, which company should she invest in?
Q2) In a certain mining town there are 3 times as many men as women. 64% of the men and 28% of the women attend the weekly football match. During half time a ticket is selected and the holder of that ticket is selected to win a prize. What is the probability that the holder of the winning ticket is a woman?