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# A and B are two events such that P(A) = 0.54, P(B) = 0.69 and P(A ∩ B) = 0.35. Find (iii) P(A ∩ B´)

7.(iii)  A and B are two events such that  $\small P(A)=0.54$ ,  $\small P(B)=0.69$  and  $\small P(A\cap B)=0.35.$ Find (iii) $\small P(A\cap B{}')$

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Given, P(A) = 0.54, P(B) = 0.69, P(A $\dpi{100} \cap$ B) = 0.35

And, P(A $\dpi{100} \cup$ B) = 0.88

(iii) P(A $\dpi{100} \cap$ B') = P(A-B) = P(A) - P(A $\dpi{100} \cap$ B)

= 0.54 - 0.35 = 0.19

$\therefore$  P(A $\dpi{100} \cap$ B') = 0.19

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