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<h3><u>Answer:</u></h3>
Hence, the probability of the complement of rolling a number less than 5 by using a six-sided die is:
1/3
<h3><u>Step-by-step explanation:</u></h3>Let A denote the event of rolling a number less than 5 in a six-sided die.
Now, we know that the Total outcomes are: 6
since, the sample space is given as: {1,2,3,4,5,6}
Also Number of favorable outcomes are: 4
since the numbers which are less than 5 are {1,2,3,4}
Now we have to find:
where P denotes the probability of an event and denote the complement of event A.
We know that:
Now,
Hence,
Hence, the probability of the complement of rolling a number less than 5 by using a six-sided die is:
1/3