document.write( "Question 35986: Sara and Josh were playing a board game in which they rolled two dice.
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document.write( "Rolling doubles (that is, rolling the same number on both sice) lets take
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document.write( "an extra turn. Josh roleed two 3s and then two 5s. As she was getting ready
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document.write( "to take another extra turn, Sara said 'The chances of you getting doubles
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document.write( "again are next to nothing' Is craig correct? Explain your answer \n" );
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Algebra.Com's Answer #22089 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! Sara and Josh were playing a board game in which they rolled two dice. \n" ); document.write( "Rolling doubles (that is, rolling the same number on both sice) lets take \n" ); document.write( "an extra turn. Josh roleed two 3s and then two 5s. As she was getting ready \n" ); document.write( "to take another extra turn, Sara said 'The chances of you getting doubles \n" ); document.write( "again are next to nothing' Is craig correct? Explain your answer \n" ); document.write( "PROBABILITY OF GETTING A DOUBLE: \n" ); document.write( "IN I THROW OF 2 DICE.. \n" ); document.write( "TOTAL POSSIBILITUES =6*6=36 \n" ); document.write( "POSSIBILITIES OF GETTING DOUBLE=6 \n" ); document.write( "P1=PROBABILITY=6/36=1/6 \n" ); document.write( "IN II THROW 2 DICE \n" ); document.write( "THESE ARE INDEPENDENT EVENTS.HENCE AGAIN \n" ); document.write( "P2=1/6 \n" ); document.write( "SIMILARLY AT ANT TRIAL \n" ); document.write( "P=1/6... \n" ); document.write( "HENCE IF WE SPECIFY IN THE BEGINING GETTING 3 DOUBLES IN 3 THROWS THEN \n" ); document.write( "P=(1/6)*(1/6)*(1/6)=1/216 WHICH IS LOW. \n" ); document.write( "BUT THE POINT IS THAT HAVING ALREADY ACHIEVED 2 DOUBLES OR NOT FOR THAT MATTER,EACH THROW IS INDEPENDENT AND THE PROBABILITY IN THAT PARTICULAR THROW ONLY IS NEITHER MORE NOR LESS...SO PREDICTING THAT THE PROBABILITY OF GETTING A DOUBLE AGAIN REPEAT AGAIN IS NEXT TO NOTHING IS NOT REPEAT NOT CORRECT.IT IS NOT AFFECTED BY PREVIOUS RESULTS.ONLY WHEN YOU TRY TO PREDICT IN THE BEGINING THAT ACHIEVING 3 DOUBLES IN 3 THROWS IS VERY SMALL IS OK \n" ); document.write( " |