document.write( "Question 427858: 8- When an experiment is performed, one and only one of the events A₁, A₂ and A₃ will occur. Find P (A₁), P (A₂) and P (A₃) under each of the following assumptions:\r
\n" ); document.write( "\n" ); document.write( "a) P(A₁) = P(A₂) = P(A₃)\r
\n" ); document.write( "\n" ); document.write( "b) P(A₁) = P(A₂) and P(A₃) = 1/2\r
\n" ); document.write( "\n" ); document.write( "c) P(A₁) = 2P(A₂) = 3P(A₃)
\n" ); document.write( "pleeeeease .. need ur help ..!
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Algebra.Com's Answer #297495 by sudhanshu_kmr(1152)\"\" \"About 
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\n" ); document.write( "Here these events are mutually exclusive events..\r
\n" ); document.write( "\n" ); document.write( "a)\r
\n" ); document.write( "\n" ); document.write( "P(A1) = P(A2) = P(A3)\r
\n" ); document.write( "\n" ); document.write( "so, P(A1) = P(A2) = P(A3)= 1/3\r
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\n" ); document.write( "\n" ); document.write( "b)
\n" ); document.write( "P(A1) + P(A2) = 1 - P(A3) = 1-1/2 = 1/2\r
\n" ); document.write( "\n" ); document.write( "so, P(A1) = P(A2) = 1/4\r
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\n" ); document.write( "\n" ); document.write( "c)
\n" ); document.write( "P(A1) = 2 P(A2) = 3 P(A3)\r
\n" ); document.write( "\n" ); document.write( "we can write, P(A2)= P(A1)/2\r
\n" ); document.write( "\n" ); document.write( "P(A3) = P(A1)/3\r
\n" ); document.write( "\n" ); document.write( "now, P(A1)+ P(A1)/2+ P(A1)/3 = 1\r
\n" ); document.write( "\n" ); document.write( "=> 11/6 * P(A1) = 1\r
\n" ); document.write( "\n" ); document.write( "=> P(A1) = 6/11\r
\n" ); document.write( "\n" ); document.write( "using value of P(A1) we find...\r
\n" ); document.write( "\n" ); document.write( "P(A2) = 3/11\r
\n" ); document.write( "\n" ); document.write( "P(A3) = 2/11\r
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