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Question: If E and F be mutually exclusive events in a sample space such that P(5) = 0.3 and P(F) = 0.6, then ...

If E and F be mutually exclusive events in a sample space such that P(5) = 0.3 and P(F) = 0.6, then P( E\overline { \mathrm { E } } Ē F\overline { \mathrm { F } } ) equals–

A

0.3

B

0.9

C

0.1

D

0.7

Answer

0.1

Explanation

Solution

P ( E\overline { \mathrm { E } } Ē ) = P [(E Č F)C] = 1 – P(E Č F)

= 1 – {P (5) + P(F)} = 0.1