24) B

Only way to get a total of 12 is to get 6 on both dices.

Since first die is fair, probability of getting a 6 = 1/6

We know probability of getting a total of 12 is 1/18.

We get 1/18 when we multiply probability of 6 on first die with probability of 6 on the second die.

Therefore, probability of getting a 12 on second die = 1/18 ÷ 1/6 = 6/18 = 1/3

Probability of getting other numbers = 1 – 1/3 = 2/3

Only way to get a total of 2 is if we get 1 on first die and 1 on the second die.

Since 1 to 5 have the same probability, probability of getting a 1 on the second die = 2/3 ÷ 5 = 2/15

Probability of getting a 1 on first die = 1/6

Probability of getting a total of 2 = 1/6 x 2/15 = 2/90 = 1/45

Hence, B is the answer.

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