Let (A1,A2,A3) be event space for sample space S. Let B be event in the sample space S. Explain whether the following statement is correct P(B)= P(B ∩ A1) +P(B ∩ A3)

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Let (A1,A2,A3) be event space for sample space S. Let B be event in the sample space S. Explain whether the following statement is correct P(B)= P(B ∩ A1) +P(B ∩ A3)

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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so A1,A2 and A3 are event spaces B is event too the same so from these ALL i think that this is in different how you wann intersecting B by A1 or B by A3 or by indifferent spaces from these ALL so from this result that an event space intersected by an second event space the resulted space will be event sure
sorry but is true that my answer not is explanation on this statement but i think that from this property of sapec S not can be proven that this statemnet is correct or not
property of space S sorry for this mystec

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thank you, jhonyy
you are welcom was my pleasure good luck bye

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