Two distinct numbers are chosen from 1,3, 5,7 ........151, 153, 155 and multiplied. The probability that the product is a multiple of 5 is
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Given numbers 1,3, 5 ........, 153, 155
T n = a + (n - l)d 
155 = 1 + (n - 1)2 
n = 78
Total number of ways = 78 C 2 = 3003
The numbers which are multiple of 5 are 5, 15, 25, ….., 155
155 = 5 + (n- 1)10 
n = 16
The number of ways in which product is a multiple of 5 = (Both two numbers from 5,15,25, ......,155 ) or (one number from 5,15,25, ...... ,145 and one numberfrom the remaining numbers).
=120 + 992 = 1112
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