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There are 5 positive and 6 negative numbers .Three numbers are chosen at random and multiplied.The probability that the product being a negative number is? OPTIONS: 11/34 17/33 16/35 16/33

There are 5 positive and 6 negative numbers .Three numbers are chosen at random and multiplied.The probability that the product being a negative number is?
OPTIONS:
11/34
17/33
16/35
16/33

Grade:12th Pass

1 Answers

Arun
25763 Points
3 years ago
Negative numbera can be obtained by-
 
3 negative
2 positive and one negative
 
Hence probability of negative numbers obtained = 
 
 = 6C3 / 11C3 + 5C2 * 6C1/11C3
 
 = 20 /165   +   10 *6 /165
 = 80/165
 = 16/33
 
Hence option D is correct

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