Two statements are given, one labelled Assertion (A) and the other labelled Reason (R).
Assertion (A): If 6 coins are tossed and the random variables X denotes the difference of number of heads and number of tails obtained, then X can take values 0, 2, 4 and 6.
Reason (R): If a random variable X assumes values $x_1, x_2, ..., ..., x_n$ then $P(X = x_1) + P(X = x_2) + ... + P(X = x_n) = 1$.
Select the correct answer from the options given below.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
When a coin is tossed 6 times, then
|
No. of heads |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
|
No. of tails |
6 |
5 |
4 |
3 |
2 |
1 |
0 |
|
Difference |
6 |
4 |
2 |
0 |
2 |
4 |
6 |
From the above table, we can see that X can take values 0, 2, 4, 6.
∴ Assertion is true.
Also, Reason is true.
Reason is not the correct explanation of Assertion.