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)

Question

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)

jhonyy9 · Answer

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

jhonyy9 · Answer

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

jhonyy9 · Answer

property of space S

sorry for this mystec

anonymous · Answer

thank you, jhonyy

jhonyy9 · Answer

you are welcom

was my pleasure 

good luck

bye