Imagine a bag containing 4 Red and 4 Blue balls. The experiment is to take out 2 balls at a time, without replacement.
The sample spaced would be C(8,2) as we need to select 2 balls out of the 8 that are there.
The equally likely outcomes are RR, BB, RB and BR. Each of these outcomes is equally likely because each has a probability of occurring as 1/4.
Here are 2 things I am unable to understand here:
1) If the questions asks, what is the probability of getting both the balls of different colours in a single draw of 2 balls, then shouldn't the answer be =1/4??
2) If my approach is wrong, then please explain why?
3) If my approach is right, then where have we made use of the sample space? I mean then, in that case, even if we have a 1000 Red and 1000 balls, the equally likely outcomes of the experiment defined as selecting 2 balls at once will be RR, BB, RB and BR.
Please help someone!!!
The sample spaced would be C(8,2) as we need to select 2 balls out of the 8 that are there.
The equally likely outcomes are RR, BB, RB and BR. Each of these outcomes is equally likely because each has a probability of occurring as 1/4.
Here are 2 things I am unable to understand here:
1) If the questions asks, what is the probability of getting both the balls of different colours in a single draw of 2 balls, then shouldn't the answer be =1/4??
2) If my approach is wrong, then please explain why?
3) If my approach is right, then where have we made use of the sample space? I mean then, in that case, even if we have a 1000 Red and 1000 balls, the equally likely outcomes of the experiment defined as selecting 2 balls at once will be RR, BB, RB and BR.
Please help someone!!!