Two cards are drawn at random from 8 cards numbered from 1 to 8. What is the probability that the sum of numbers is even, if the two cards are drawn together ?
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Answer
The number of ways of choosing one odd and one even number is
5
C
1
×
5
C
1
=5×5=25
Total number of ways of choosing 2 cards out of 10=
10
C
2
=45
Thus, probability =25/45=5/9
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