Two statements are given, one labelled Assertion (A) and the other labelled Reason (R).

Assertion (A): A random variable X has the following probability distribution

If events E = {X is greater than 5}, F = {X is an odd number}, then $P(E∪F) = 0.65$.

Reason (R): $E∪F = \{1, 3, 5, 6, 7, 8, 9\}$.

Select the correct answer from the options given below:

Assertion (A) is false, but Reason (R) is true.

The correct answer is Option (4) → Assertion (A) is false, but Reason (R) is true.

E = {X is greater than 5}

$⇒ E = \{6, 7, 8, 9\}$

F = {X is an odd number}

$⇒ F = \{1,3,5,7,9\}$.

So, $E∪F = \{1,3,5, 6, 7, 8, 9\}$

∴ Reason is true.

Now, $P(E∪F) = P(1) + P(3) + P(5) + P(6) + P(7) + P(8) + P(9)$

$= 0.2+0.05+0.1+0.07 +0.12 + 0.13 +0.08$

$= 0.75$

∴ Assertion is false.