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 but reason is not the correct explanation of assertion.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Assertion is false but reason is true.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Assertion is true but reason is false.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

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

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D 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.

Suggest Corrections

Similar questions

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.

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 :Statement-1 : If A and B be mutually exclusive events in a sample space such that P(A)

= 0.3 a n d P (B) = 0.6,

then

p (¯ A \cap ¯ B) = 0.28

Reason: Statement-2 : If A and B are mutually exclusive events then

P (A \cap B) = 0

Q. Assertion :If A, B, C are three events such that

P (A) = \frac{1}{4}

P (B) = \frac{1}{6}

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

then events A, B, C are mutually exclusive. Reason: If

P (A \cup B \cup C) = P (A) + P (B) + P (C)

then A, B, C are mutually exclusive events.

Q. Assertion :If the probability of an event

A = 0.2

& the probability of the event B is 0.3, then the probability of neither A nor B occurs depends upon the fact that A & B are mutually exclusive or not. Reason: Two events A & B are mutually exclusive if they do not have common elements between them.

Join BYJU'S Learning Program

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 D 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 D 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.