Assertion : In rolling a die, event A = {1, 3, 5} and event B = {2, 4} are mutually exclusive events.
Reason : In a sample space two events are mutually exclusive if they do not occur at the same time.

Both assertion and reason are true and reason is the correct explanation of assertion.

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Both assertion and reason are true but reason is not the correct explanation of assertion.

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Assertion is true but reason is false.

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Assertion is false but reason is true.

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Solution

The correct option is A
Both assertion and reason are true and reason is the correct explanation of assertion.

$A = {1, 3, 5}$ and $B = {2, 4}$
Here, $A \cap B = Φ$
$∴$ A and B are mutually exclusive events.
Assertion: True
Reason: True and is the correct explanation of assertion.

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Similar questions

Assertion: In rolling a dice, event A = {1, 3, 5} and event B = {2, 4} are mutually exclusive events.
Reason: In a sample space, two events are mutually exclusive if they do not occur at the same time.

Q. Assertion: The probability of a sure event is 1.
Reason: Let E be an event. Then,

0 \leq P (E) \leq 1

.
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Q. Assertion : Two events A and B are such that

P (A) = \frac{1}{3}

and

P (B) = \frac{2}{3}

then

P (A \cup B) \geq \frac{2}{3}

Reason : If

P (B) > P (A)

, then

P (A \cup B) \geq P (B)

Assertion: If $a \neq b$ , then $(a, b) \neq (b, a)$ .
Reason: $(4, - 3)$ lies in Quadrant $I V$
(a) Both Assertion and Reason are true and Reason is a correct explanation of Assertion.
(b) Both Assertion and Reason are true but Reason is not a correct explanation of Assertion.
(c) Assertion is true and Reason is false.
(d) Assertion is false and Reason is true.

Assertion : Two dice are thrown simultaneously. There are 11 possible outcomes (2,3,4,5,6,7,8,9,10,11,12) and each of them has a probability $\frac{1}{11}$ .
Reason : Probability of an event (E) is defined as P(E) $= \frac{Number of outcomes favourable to E}{Total number of possible outcomes}$ .

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Assertion : In rolling a die, event A = {1, 3, 5} and event B = {2, 4} are mutually exclusive events. Reason : In a sample space two events are mutually exclusive if they do not occur at the same time.

The correct option is A Both assertion and reason are true and reason is the correct explanation of assertion. A={1,3,5} and B={2,4} Here, A∩B=Φ ∴ A and B are mutually exclusive events. Assertion: True Reason: True and is the correct explanation of assertion.

Assertion : In rolling a die, event A = {1, 3, 5} and event B = {2, 4} are mutually exclusive events.
Reason : In a sample space two events are mutually exclusive if they do not occur at the same time.

The correct option is A
Both assertion and reason are true and reason is the correct explanation of assertion.

$A = {1, 3, 5}$ and $B = {2, 4}$
Here, $A \cap B = Φ$
$∴$ A and B are mutually exclusive events.
Assertion: True
Reason: True and is the correct explanation of assertion.