Respuesta :

Answer: 2

Step-by-step explanation:

1+2, 2+1

Therefore, the probability of getting a total of three is 2

Probability of getting total of three when two fair dice rolled is equals to [tex]\frac{1}{18}[/tex] .

What is probability?

" Probability is defined as the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Probability [tex]= \frac{Number of favourable outcomes}{Total number of outcomes}[/tex]

According to the question,

Dan rolls two fair dice,

Possible outcomes are [tex]= \{ (1,1), (1,2), (1,3) , (1,4). .........., ( 6,5), (6,6)\}[/tex]

Total number of outcomes [tex]= 36[/tex]

Condition given,

Favourable outcomes for total of [tex]3[/tex] [tex]= \{(1,2) , (2,1)\}[/tex]

Substitute the value in the formula of probability we get,

Probability of getting [tex]3[/tex]

[tex]= \frac{2}{36}\\\\= \frac{1}{18}[/tex]

Hence, probability of getting total of three when two fair dice rolled is equals to [tex]\frac{1}{18}[/tex] .

Learn more about probability here

brainly.com/question/11234923

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