Correct Answer - Option 3 :
\( \rm \frac{1}{6}\)
Concept:
Prime Number - A natural number greater than 1 which has only 1 and itself as factors.
Composite Number - A natural number greater than 1 which has more factors than 1 and itself.
Calculation:
On a through of a dice 6 possible outcomes are possible. They are (1, 2, 3, 4, 5, 6)
Among which only 4 and 6 are composite numbers that is two numbers are composite
The probability of getting a composite number on the throw of dice is \(\rm \frac{2}{6} = \frac{1}{3}\)
2, 3 and 5 are prime numbers that is three numbers are prime
The probability of getting a prime number on the throw of dice is \(\rm \frac{3}{6} = \frac{1}{2}\)
The difference of the probability that the number is a prime number and composite number is \(\rm \frac{1}{2} - \frac{1}{3} = \frac{1}{6}\)
