Respuesta :

devishri1977

Answer:

Option A

Step-by-step explanation:

Probability:

When we roll a pair of dice, the total number of possibilities is 36.

Chances of getting sum of the dice less than 4 = {(1,1); (1,2); (2,1)}

Number of chances of getting sum less than 4 = 3

[tex]\sf P(getting \ sum \ less \ than \ 4) = \dfrac{3}{36}[/tex]

                                        [tex]\sf =\dfrac{1}{12}[/tex]

Final answer:

The theoretical probability of rolling a sum less than 4 with two dice is 1/12.

Explanation:

Probability of Rolling Two Dice:

When rolling two dice, there are a total of 36 possible outcomes.

Let's find the outcomes where the sum of the dice is less than 4:

  1. The outcome of rolling a 1 on both dice (1+1) is 1.
  2. The outcome of rolling a 1 on the first die and a 2 on the second die (1+2) is 1.
  3. The outcome of rolling a 2 on the first die and a 1 on the second die (2+1) is 1.

The total number of outcomes where the sum of the dice is less than 4 is 3.

Since there are 36 possible outcomes, the probability of rolling a sum less than 4 is 3/36, which simplifies to 1/12.

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