A, B, C are three mutually exclusive and exhaustive events of a random experiment. Find the values of P(A), P(B) and P(C), given that 
Solution not provided.
Ans. 
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n(S) = n
...(i)![<pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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...(ii)
...(iii)
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Solution not provided.
Ans. ![<pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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(b) 
(a) From set theory, we know that
...(i)
∴ 
Since 
are mutually exclusive.
∴ ![<pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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[By using (i)]
(b) Similarly, we can prove that
If A and B are two mutually exclusive events, then prove that P(A ∪ B) = P(A) + P(B)
PROOF : Suppose the total number of all possible, mutually exclusive outcomes of an experiment be n
i.e., n(S) = n
Let the outcomes from amongst n possible outcomes, that are favourable to the happening of event A = n(F1) = m1
Also, let the outcomes from amongst n that are favourable to happening of event B = n(F2) = m2
Since event A and event B are mutually exclusive
∴ the number of outcomes that are favourable to the happening of events A or event 
By definition, 
Hence, 
when events A and B are mutually exclusive.
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