In a single throw of a die describe the event:

*F* = Getting a number not less than 3.

Also, find *A* ∪ *B*, *A* ∩ *B*, *B* ∩ *C*, *E* ∩ *F*, *D* ∩ *F* and \[ \bar { F } \] .

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#### Solution

When a dice is thrown, the sample space is given by *S *= {1, 2, 3, 4, 5, 6}.

Accordingly, we have:

*F* = {3, 4, 5, 6}

Here, A = {1, 2, 3, 4, 5, 6} and B = Φ

∴ A ∪ B = {1, 2, 3, 4, 5, 6}

Here, A = {1, 2, 3, 4, 5, 6} and B = Φ

∴ A ∩ B = Φ

Here, B = Φ and C = {3, 6}

∴ B ∩ C = Φ

Here, E = {6} and F = {3, 4, 5, 6}

∴ E ∩ F = {6}

Here, D = {1, 2, 3} and F = {3, 4, 5, 6}

∴ D ∩ F = {3}

Here, F = {3, 4, 5, 6} and S = {1, 2, 3, 4, 5, 6}

∴ \[\bar{F} = S - F = {1, 2}\]

Concept: Event - Types of Events

Is there an error in this question or solution?

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