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] .
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