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In the experiment of throwing a die, consider the following events : A = {1, 3, 5}, B = {2, 4},

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In the experiment of throwing a die, consider the following events : A = {1, 3, 5}, B = {2, 4}, C = {6} Are these events mutually exclusive?

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Since the happening of one of the given events A, B, C prevents the happening of other two, hence the given events are mutually exclusive.

Otherwise A ∩ B = ϕ, B ∩ C = ϕ, C ∩ A = ϕ

Hence they are mutually exclusive events.

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