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  • Match the following a. If E1 and E2 are two mutually exclusive events i. E1 and E2 =E1

Match the following:

a  if E1 and E2  are the two mutually exclusive events i              

E1 ∩ E2 = E1
b       if E1 and E2  are  the mutually exclusive and exhaustive events      ii

(E1 – E2) U (E1 ∩ E2) = E1
c

If E1 & E2 have common outcomes then,

 iii

E1 ∩ E2 = \phi E1 U E2 = S
d If E1 and E2 are two events such that E1 ϲ E2 iv

E1 ∩ E2 = φ 

 

Answers (1)

Answers –

(a) E1 & E2 are mutually exclusive events,

Thus, P (E1 ∩ E2) = φ 

Thus, (a) → (iv)

(b) E1 & E2 are mutually exclusive and exhaustive events,

Thus, (b) → (iii)

(c) If E1 & E2 have common outcomes, then

(E1 – E2) U (E1 ∩ E2) = E1

Thus, (c) → (ii)

(d) If E1 & E2 are such that,

E1 \subset E2

Then, (E1 ∩ E2) = E1

Thus, (d) → (i).

Posted by

infoexpert22

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