SOLUTION: Find the sample space S and the corresponding size n(S) for each of the random experiments There are three cards marked X, Y, and Z in box A, and five cards numbered 1 to 5 in box

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Question 1174819: Find the sample space S and the corresponding size n(S) for each of the random experiments
There are three cards marked X, Y, and Z in box A, and five cards numbered 1 to 5 in box B. A card
each is chosen at random from box A and box B; the letter and number obtained are recorded
together.

Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.
Find the sample space S and the corresponding size n(S) for this experiment.
There are three cards marked X, Y, and Z in box A, and five cards numbered 1 to 5 in box B.
Two cards are chosen at random, one from box A and one from box B; the letter and number obtained are recorded.
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            Pay attention on how I edited your original post to transform it from
            random collection of words into normal mathematical text.


For this experiment, the sample space  S  consists of pairs S = { (L,d) },


where L is one of the three letters X, Y, or Z,  and  d  is one of five digits  1, 2, 3, 4, or 5.


The number of elements in the sample space S  is 3*5 = 15:

    n(S) = 15.      


All events in the sample space are equally likely hood, so the probability of each of the 15 elements of the sample space S is  .

Solved, answered and explained.



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