You are off to soccer and love being a goalkeeper, but that depends who is the coach today :

- with coach Ahmed the probablity of being a goalkeeper is 0.5
-with coach Usman the probability of being a goalkeeper is 0.3
Ahmed is coach more often.About 6 out of every 10 games ( a probability of 0.6)
a) Draw a probablity tree diagram to show all the outcomes of the experiment
b) what is the probablity that you will be a goalkeeper today