| Assertion (A): A number is selected from the numbers 1 to 20. The probability that it will be a prime is \[\frac{2}{5}\]. |
| Reason (R): There exists 25 prime numbers from natural number 1 to 100. |
A) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
B) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A)
C) Assertion (A) is true but reason (R) is false.
D) Assertion (A) is false but reason (R) is true.
Correct Answer: B
Solution :
| [b] Clearly, Reason is true. |
| Now, total number of outcomes =20 |
| Favorable outcomes are |
| \[\{2,3,5,7,11,13,17,19\}\]i.e., 8 |
| \[\therefore \] Required probability \[=\frac{8}{20}=\frac{2}{5}\] |
| \[\therefore \] Assertion: True; Reason: True but it is not the correct explanation of Assertion. |
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