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Two Dice Are Thrown. the Events A, B and C Are as Follows: a and C Are Mutually Exclusive - Mathematics

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Two dice are thrown. The events A, B and C are as follows:

A: getting an even number on the first die.

B: getting an odd number on the first die.

C: getting the sum of the numbers on the dice ≤ 5

State true or false: (give reason for your answer)

 A and C are mutually exclusive

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Solution

It is observed that A ∩ C = {(2, 1), (2, 2), (2, 3), (4, 1)} ≠Φ

∴A and C are not mutually exclusive.

Thus, the given statement is false.

Concept: Event - Mutually Exclusive Events
  Is there an error in this question or solution?

APPEARS IN

NCERT Class 11 Mathematics
Chapter 16 Probability
Q 7.4 | Page 393

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