Theoretical probability assumes all outcomes are equally likely. I am currently pregnant and we just recently found out the sex of the baby. We knew prior to going we had a 50/50 chance of either a boy or a girl. I used subjective probability by assuming prior to going it was a boy. ( I was right)
Relative frequency is a value that is calculated by dividing the number of times an even occurs by the total number of times the experiment is carried out.
There are 5 school days a week, each day my son comes home with a folder with his behavior marked on the day of the week. If there are 20 school days a month and he got 2 happy faces a week he would have got 8 happy faces that month of school while getting 12 “w” faces (meaning he was given a warning for his behavior). Therefore the relative frequency of him getting a “w: face is 12/20= 3/5= .6
Subjective probability is based on a personal judgment and how likely they believe an event will occur. When I used to follow football I played in a fantasy league and if you would have asked me each week the probability I would win I would have had to say I have at least an 85% chance of winning. I was winning a lot however there was still a slight chance I believed I could be beat. I was also pretty confident in my team.