document.write( "Question 1206043: In a large school, it was found that 75% of students are taking a math class, 77% of student are taking an English class, and 57% of students are taking both.\r
\n" ); document.write( "\n" ); document.write( "Find the probability that a randomly selected student is taking a math class or an English class. Write your answer as a decimal, and round to 2 decimal places if necessary.\r
\n" ); document.write( "\n" ); document.write( "Find the probability that a randomly selected student is taking neither a math class nor an English class. Write your answer as a decimal, and round to 2 decimal places if necessary. \n" ); document.write( "
Algebra.Com's Answer #843223 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "M = person takes Math
\n" ); document.write( "E = person takes English\r
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\n" ); document.write( "\n" ); document.write( "Given info
\n" ); document.write( "P(M) = 0.75
\n" ); document.write( "P(E) = 0.77
\n" ); document.write( "P(M and E) = 0.57\r
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\n" ); document.write( "\n" ); document.write( "Use the inclusion-exclusion principle to say:
\n" ); document.write( "P(M or E) = P(M)+P(E)-P(M and E)
\n" ); document.write( "P(M or E) = 0.75+0.77-0.57
\n" ); document.write( "P(M or E) = 0.95\r
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\n" ); document.write( "\n" ); document.write( "Then,
\n" ); document.write( "P(neither M nor E) = 1 - P(M or E)
\n" ); document.write( "P(neither M nor E) = 1 - 0.95
\n" ); document.write( "P(neither M nor E) = 0.05
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