If A, B and C are any three events in a sample space S then P(A \\cupB \\cupC)=

Correct Answer is : P(A)+P(B)+P(C)−P(A∩B)−P(B∩C) −P(A∩C)+P(A∩B∩C)

{P}({A})+{P}({B})-{P}({A} \\cap{B})+{P}({A} \\cap{B} \\cap{C})

{P}({A})+{P}({B})+{P}({C})-{P}({A} \\cap{B})-{P}({B} \\cap{C}) -{P}({A} \\cap{C})+{P}({A} \\cap{B} \\cap{C})

{P}({A})+{P}({B})+{P}(C)+{P}({A} \\cap{B} \\cap{C})

{P}({A})+{P}({B})+{P}({C})-{P}({A} \\cap{B}) -{P}({B} \\cap{C})-{P}({A} \\cap {C})

TS ICET 30 Sep 2020 Shift 1 Paper

Question : 149 of 200

Marks: +1, -0

A, B

and

C

are any three events in a sample space

S

then

P(A \∪B \∪C)=

${P}({A})+{P}({B})-{P}({A} \∩{B})+{P}({A} \∩{B} \∩{C})$
${P}({A})+{P}({B})+{P}({C})-{P}({A} \∩{B})-{P}({B} \∩{C})$ $-{P}({A} \∩{C})+{P}({A} \∩{B} \∩{C})$
${P}({A})+{P}({B})+{P}(C)+{P}({A} \∩{B} \∩{C})$
${P}({A})+{P}({B})+{P}({C})-{P}({A} \∩{B})$ $-{P}({B} \∩{C})-{P}({A} \∩ {C})$

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