Match the following (a) If E1 and E2 are the two mutually (i) E1 ∩ E2 = E1 exclusive events (b) If E1 and E2 are the mutually (ii) (E1 – E2) ∪ (E1 ∩ E2) = E1 exclusive and exhaustive events (c) If E1 and E2 have common (iii) E1 ∩ E2 = φ, E1 ∪ E2 = S outcomes, then (d) If E1 and E2 are two events (iv) E1 ∩ E2 = φ such that E1 ⊂ E2

Match the following

(a) If E₁ and E₂ are the two mutually                  (i) E₁ ∩ E₂ = E₁ exclusive events

(b) If E₁ and E₂ are the mutually                         (ii) (E₁ – E₂) ∪ (E₁ ∩ E₂) = E₁

      exclusive and exhaustive events

(c) If E₁ and E₂ have common                            (iii) E₁ ∩ E₂ = φ, E₁ ∪ E₂ = S

     outcomes, then

(d) If E₁ and E₂ are two events                           (iv) E₁ ∩ E₂ = φ

      such that E₁ ⊂ E₂

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Payal Gupta | Contributor-Level 10

7 months ago

This is a matching answer type question as classified in NCERT Exemplar

$\begin{array}{l} (a) I f E_{1} a n d E_{2} a r e m u t u a l l y e x c l u s i v e e v e n t s, t h e n E_{1} \cap E_{2} = ? . \\ (b) I f E_{1} a n d E_{2} a r e m u t u a l l y e x c l u s i v e a n d e x h a u s t i v e e v e n t s, t h e n \\ E_{1} \cap E_{2} = ? a n d E_{1} \cup E_{2} = S . \\ (c) I f E_{1} a n d E_{2} h a v e c o m m o n o u t c o m e s, t h e n (E_{1} - E_{2}) \cup (E_{1} \cap E_{2}) = E_{1} \\ (d) I f E_{1} a n d E_{2} a r e t w o e v e n t s s u c h t h a t E_{1} \subset E_{2} \Rightarrow E_{1} \cap E_{2} = E_{1} \\ H e n c e, (a) \leftrightarrow (i v), (b) \leftrightarrow (i i i), (c) \leftrightarrow (i i), (d) \leftrightarrow (i) \end{array}$

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