Probability question ,Random variables and probability distribution

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SUMMARY

The discussion revolves around a probability problem involving a box containing 5 indiscernible CDs, of which 2 are children's CDs. The random variable X represents the number of tests until the first children's CD is found. The possible values of X are {1, 2, 3, 4}. The probability distribution of X needs to be determined, and the calculation of the probability that at least 2 tests are performed is also required. Participants emphasize the need to establish the probability for each value of X sequentially to solve the problem.

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I'm completely lost on this probability problem,

Homework Statement



A Box contains 5 indiscernible CDs.It is known that among them 2 are for children .So in order to find the first children's CD ,they are tested one after the other (successively ),Denote by X the random variable which represents the number of tests until the first children's cd is spotted

1- List all the possible values of X

2-Determine the probability distribution of X

3- Calculate the probability that at least 2 tests were performed

2. The attempt at a solution

1- x={1 2 3 4 }
2- very lost here
3- I can't solve without part 2

thank you
 
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Is this a trick question? They're CDs, so you'll never spot a book. :wink:

You should be able to tell us the probability that X=1.
 
vela said:
Is this a trick question? They're CDs, so you'll never spot a book. :wink:

You should be able to tell us the probability that X=1.

You should also be able to tell us the probability that X = 2. After that, you should be able to do X = 3 and X = 4.

RGV
 

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