A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8. an experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome. What is the probability that the random variable has an outcome of 0?

Question

anonymous · Answer

replacing it.......
replacing with what ????
what type of marble??

anonymous · Answer

5/8 may be

kirbykirby · Answer

If the probability of drawing a blue ball is 3/8, then the probability of drawing a red ball is 5/8.

Since $X$ designates the number of blue balls. The question then asks what is $P(X=0)$, that is the probability of getting no blue balls? 

In other words, it means the probability of getting only red balls. There are 2 trials, so both trials must be red balls.
1st trial: The probability of getting red is 5/8
2nd trial: The ball was placed back into the bag, so the probability of getting red is still 5/8

So what is the overall probability :) ?