| Assertion (A): Card numbered as \[\text{1},\text{ 2},\text{ 3},.........1\text{5}\] are put in a box and mixed thoroughly, once card is then drawn at random. The probability of drawing an even number is \[\frac{1}{2}\]. |
| Reason (R): For any event E, we have \[0\le P(E)\le 1\]. |
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: D
Solution :
| [d] Assertion (A) is false but reason (R) is true. |
| Total possible outcomes =15 |
| \[n(S)=15\] |
| Total favorable numbers are \[2,4,6,8,10,12,14\] |
| \[E=\{2,4,6,8,10,12,14\}\] |
| \[n(E)=7\] |
| Probability of drawing an even number \[=\frac{7}{15}\] |
You need to login to perform this action.
You will be redirected in
3 sec
