Two dice are rolled together bearing numbers 4, 6, 7, 9, 11, 12

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.

∴ 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, 11 x 9, 11 x 11

∴ possible number of favorable outcomes = 9

Now the probability = $\frac{favorable~outcomes}{Total~outcomes}$

= $\frac{9}{36} = \frac{1}{4}$

Therefore, the probability of product being an odd number is $\frac{1}{4}$ .

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