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Sergeeva-Olga [200]
3 years ago
5

If you roll two four-sided dice (numbered 1, 2, 3, and 4), what is the probability that the sum of the dice is 3?

Mathematics
1 answer:
Elan Coil [88]3 years ago
8 0

Answer:

The probability that the sum of the dice is 3, is 3/16.

Step-by-step explanation:

It is given that two four-sided dice are rolled.

Total number of sides of each dice = 4

Possible values for each dice = 1,2,3,4

If two four-sided dice are rolled, then the total possible outcomes are

A=\{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),\\(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)\}

Total number of possible outcomes = 16

The sum of the dice is 3.

\text{Favorable outcomes}=\{(1,1),(1,2),(2,1)\}

Total number of favorable outcomes = 3

The probability that the sum of the dice is 3.

Probabilty=\frac{3}{16}

Therefore the probability that the sum of the dice is 3, is 3/16.

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