Find the probability of getting neither prime nor composite number on the face of the die when it is rolled once.
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1/6
Step-by-step explanation:
Probability = Number of elements in the event (n(E)) / Number of elements in the sample space (n(S))
When a die is rolled once, we can get any one from these numbers {1,2,3,4,5,6}
So, sample space (S) = {1,2,3,4,5,6}
n(S) = 6
Numbers which are divisible only by itself are known as Prime numbers i.e. 2,3, and 5 and rest are Composite numbers i.e. 4 and 6
Now, as we know that only number 1 is neither prime nor composite.
So, n(E) = 1
∴ Probability of getting neither prime nor composite number on the face of the die when it is rolled once = 1/6
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