| Directions: Each of these questions contains an Assertion followed by Reason. Read them carefully and answer the question on the basis of following options. |
| You have to select the one that best describes the two statements. |
| Assertion If the probability of an event is P, then probability of its complementary event will be 1 P. |
| Reason When E and \[\overline{E}\] are complementary events, then |
| \[P\left( E \right)+\text{ }P\left( \overline{E} \right)=1\] |
A) If both Assertion and Reason are true and Reason is the correct explanation of Assertion.
B) If both Assertion and Reason are true and Reason is not the correct explanation of Assertion.
C) If Assertion is true but Reason is false.
D) If Assertion is false but Reason is true.
Correct Answer: A
Solution :
If the probability of an event is P, the probability of its complementary will be 1 - P. \[\Rightarrow \] Sum of probability of an event and its complementary event = 1 \[\Rightarrow \,\,P\left( E \right)+P\left( \overline{E} \right)=1\] \[\Rightarrow P\left( \overline{E} \right)=1-P\left( E \right)\] Hence, both Assertion and Reason are true and Reason is the correct explanation of Assertion.
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