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Students in this question we have given three axioms.
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The first axiom is zero is less than or equal to.
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Probability of a is less than or equal to one.
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Where a is subset of the o.
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Now p of p of a or you can say this is the main probability o is equals to one.
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Then a1, a2 up to n are the disjoint events.
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Then a1 union a2 union a3 and so on.
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Probability will be sum of the individual probabilities.
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So using this we have to answer probability of a union b is probability of a plus probability of b minus probability of a intersection b.
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For any event a b subset of o.
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So this we have to prove.
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So a union b is a intersection b complement union with b.
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Now if we draw the venn diagram.
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So let us take this as a, this is b, this will be the a intersection b and this part is a intersection b complement and this part is a intersection b.
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So this intersection part with this b will give you a union b...