Respuesta :
The probability of the pair of standard dice to be rolled and for their sum to be less than 5 is [tex]\frac{1}{6}[/tex]
What is probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
According to the given problem,
The possible rolls can be represented by ordered pairs,
Where the first entry is the outcome of one die and the second is the outcome of the other.
(1 and 1) , (1 and 2) ,…….,(1 and 6), (2 and 1), (2 and 2),.......,(2 and 6),.....,(6 and 1) ,(6 and 2),....,(6 and 6).
There are 36 possible outcomes when two dice are rolled.
Pairs having sum less than 5: (1 and 1) ,(1 and 2) , (1 and 3) , (2 and 1) , (2 and 2), (3 and 1).
The probability that the sum is less than 5 = [tex]\frac{6}{36}[/tex]
= [tex]\frac{1}{6}[/tex]
Hence, we can conclude, there is a probability of [tex]\frac{1}{6}[/tex] for the standard dice to be rolled and for their sum to be less than 5.
Learn more about probability here: https://brainly.com/question/11234923
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