Question

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

Answer 1

The positive no = 5
The negative no = 6
Total number = 11

Let take positive no be = 1, 2, 3, 4, 5
Let take negative no be = -2, -3, -4, -5, -6, -7 

Let choose any three number randomly and multiply with each other, we get 
(i) 1 * - 2 = - 2
(ii) 2 * - 3 = - 6 
(iii) 3 * - 4 = - 12 

So, the numbers are all negative
P (Negative numbers) = Product number/ Total number
                                    = 11/34