document.write( "Question 1086705: Two dice are rolled together. What is the probability that:
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document.write( "a)The first die shows 1 or the second die shows 4?
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document.write( "B)The first die shows odd number and the second die shows prime number?
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document.write( "c)The first die shows odd number or the second die shows prime number? \n" );
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Algebra.Com's Answer #700929 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! There are 6 * 6 = 36 possible outcomes \n" ); document.write( ": \n" ); document.write( "a) Probability(P) of 1st die is a 1 is 6/36 and P of 2nd die is a 4 is 6/36 \n" ); document.write( "P(rolling a 1 or a 4)) = (6/36) + (6/36) = (1/6) + (1/6) = 2/6 = 1/3 \n" ); document.write( ": \n" ); document.write( "b) P(1st die is odd number) = 18/36 = 1/2, P(2nd die is a prime numbers) = 24/36 = 2/3 \n" ); document.write( "---Note prime numbers are 2, 3, 5 \n" ); document.write( "P(rolling odd number and a prime number) = (1/2) * (2/3) = 2/6 = 1/3 \n" ); document.write( ": \n" ); document.write( "c) P(rolling odd number or a prime number) = (18/36) + (18/36) - (9/36) = 3/4 \n" ); document.write( ": \n" ); document.write( "---Note we have to subtract the 9 events where the first die is a 1, 3 or 5 and second die is 2, 3, 5 since we already counted them \n" ); document.write( ":\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |