document.write( "Question 402271: Each letter of the alphabet is written on a separate sheet of paper and placed in a box. Find the probability of drawing a vowel, [a,e,i,o,u], or a letter in the word \"segments\"? \n" ); document.write( "
Algebra.Com's Answer #284559 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! Each letter of the alphabet is written on a separate sheet of paper and placed in a box. Find the probability of drawing a vowel, [a,e,i,o,u], or a letter in the word \"segments\"? \n" ); document.write( " \r\n" ); document.write( "We use the formula \r\n" ); document.write( "\r\n" ); document.write( "P(A or B) = P(A) + P(B) - P(A and B)\r\n" ); document.write( "\r\n" ); document.write( "A = drawing a vowel, i.e., one of these five: {a,e,i,o,u}\r\n" ); document.write( "B = drawing a letter in the word \"segments\", i.e., one of these six: {s,e,g,m,n,t}\r\n" ); document.write( "\r\n" ); document.write( "P(A) = 5 out of 26 = 5/26\r\n" ); document.write( "P(B) = 6 out of 26 = 6/26\r\n" ); document.write( "P(A and B) = P(drawing an \"e\") = 1 out of 26 = 1/26\r\n" ); document.write( "\r\n" ); document.write( "P(A or B) = P(A) + P(B) - P(A and B) = 5/26 + 6/26 - 1/26 = 10/26 = 5/13\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |