document.write( "Question 34168: Hi Could you please help me to solve this problem:\r
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document.write( "Find a probability if a die is rolled 5 times: P(exactly one 5) \n" );
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Algebra.Com's Answer #20458 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! A DIE HAS 6 FACES.WHEN IT IS ROLLED ANY FACE CAN TURN UP.SO IN ONE THROW WE CAN GET 5 ONLY IN ONE OUT OF 6 CHANCES OR PROBABILITY OF 1/6. \n" ); document.write( "FOR NOT GETTING A 5 ,THE PROBABILITY =5/6 ...WE SAY PROBABILITY OF SUCCESS=P=1/6 \n" ); document.write( "SINCE THAT IS WHAT WE WANT. \n" ); document.write( "PROBABILITY OF FAILURE =Q=5/6 \n" ); document.write( "NOW WE USE BINOMIAL DISTRIBUTION THEOREM TO FIND PROBABILITY IN MANY TROWS OR 5 THROWS AS REQUIRED HERE.IT SAYS \n" ); document.write( "PROBABILITY OF EXACTLY R SUCCESSES IN N TRIALS =(NCR)*(P^R)*(Q^(N-R)) \n" ); document.write( "WE HAVE N=5 AND R=1,P=1/6...Q=5/6 \n" ); document.write( "P(1)=5C1*((1/6)^1)*((5/6)^4)=(5*5*5*5*5)/(6*6*6*6*6)=0.4019 \n" ); document.write( " |