- #1
Dell
- 590
- 0
a man walks into a casino and sees 2 slot machines, he randomly chooses one.
the chance of winning on machine 1 is 0.4
the chance of winning on machine 2 is 0.3
if the man wins he plays a second game on the same machine, if he loses he changes to the other machine
what is the probability of him winning one game and losing one game
what i have been doing up till this question was building a tree diagram with the possibilities
A-win in first round
B-win in second round
since he randomly chooses a machine i have a 50/50 chance of playing on either machine
the problem is that i haven't dealt with such a large tree yet,
i think I am looking for P(A/[tex]\bar{B}[/tex])+P([tex]\bar{A}[/tex]/B)+P(B/[tex]\bar{A}[/tex]) +P([tex]\bar{B}[/tex]/A) and i need to do this for each of the 2 machines
but i don't get the right answer, in fact i get something bigger than 1
the chance of winning on machine 1 is 0.4
the chance of winning on machine 2 is 0.3
if the man wins he plays a second game on the same machine, if he loses he changes to the other machine
what is the probability of him winning one game and losing one game
what i have been doing up till this question was building a tree diagram with the possibilities
A-win in first round
B-win in second round
since he randomly chooses a machine i have a 50/50 chance of playing on either machine
the problem is that i haven't dealt with such a large tree yet,
i think I am looking for P(A/[tex]\bar{B}[/tex])+P([tex]\bar{A}[/tex]/B)+P(B/[tex]\bar{A}[/tex]) +P([tex]\bar{B}[/tex]/A) and i need to do this for each of the 2 machines
but i don't get the right answer, in fact i get something bigger than 1