Q) Two dice are rolled together bearing numbers 4, 6, 7, 9, 11, 12. Find the probability that the product of numbers obtained is an odd number
Ans:
The numbers on each dice are 4, 6, 7, 9, 11, 12.
β΄ Total possible outcomes = 6 x 6 = 36
To get product of 2 numbers as an odd number, both numbers should be odd
Therefore, such possibilities are:
7 x 7, 7 x 9, 7 x 11,
9 x 7, 9 x 9, 9 x 11,
11 x 7,Β 11 x 9, 11 x 11
β΄ possible number of favorable outcomes = 9
Now the probability =
=
Therefore, the probability of product being an odd number is .
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