12. A six faced die is so biased that it is twice aso show an odd numb

1.	12. A six faced die is so biased that it is twice aso show an odd number as an evennumber when rolled. The probability that thesum of the numbers on the upturned faces iseven when the die is thrown twice is4.2)3)4)
Answer» Probability of getting an even number = 1/3Probability of getting an odd number = 2/3since the dice is biased. The sum is even if (even,even) or (odd,odd)[P(even).P(even)] + [P(odd).P(odd)]1/3 * 1/3 + 2/3 * 2/3 = 4/9 + 1/9 = 5/9 (1) is correct option

12. A six faced die is so biased that it is twice aso show an odd number as an evennumber when rolled. The probability that thesum of the numbers on the upturned faces iseven when the die is thrown twice is4.2)3)4)

Answer»

Probability of getting an even number = 1/3Probability of getting an odd number = 2/3since the dice is biased.

The sum is even if (even,even) or (odd,odd)[P(even).P(even)] + [P(odd).P(odd)]1/3 * 1/3 + 2/3 * 2/3 = 4/9 + 1/9 = 5/9

(1) is correct option