document.write( "Question 1128279: A box contains 5 tickets numbered 1 through 5. A ticket is selected at random and a die is rolled.\r
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document.write( "a) List the elements of the sample space.
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document.write( "b) What is the probability that the sum of the numbers is even?
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document.write( "c) What is the probability that the number on the ticket is the same as the number on the die? \n" );
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Algebra.Com's Answer #744748 by Quadratic1600(28)![]() ![]() You can put this solution on YOUR website! Hi\r \n" ); document.write( "\n" ); document.write( "This one is pretty tough!!!!\r \n" ); document.write( "\n" ); document.write( "a) for the elements of the sample space surely they are 1 2 3 4 5 for the tickets and 1 2 3 4 5 6 for the dice \n" ); document.write( "b) Ok for you to get an even number it is either even + even or odd + odd so\r \n" ); document.write( "\n" ); document.write( "First part - Tickets \n" ); document.write( "Chance of drawing even is 2/5 \n" ); document.write( "Chance of drawing odd is 3/5\r \n" ); document.write( "\n" ); document.write( "Second part - dice \n" ); document.write( "Chance of throwing even 3/6 \n" ); document.write( "Chance of throwing odd 3/6\r \n" ); document.write( "\n" ); document.write( "So 2/5 x 3/6 and 3/5 x 3/6 \n" ); document.write( "2/5 x 3/6 = 1/5 \n" ); document.write( "3/5 x 3/6 = 3/10\r \n" ); document.write( "\n" ); document.write( "1/5 + 3/10 = 1/2\r \n" ); document.write( "\n" ); document.write( "So there is a 50% chance - However you could have just said if it isn't even then it is odd which would have been a lot more simple!!\r \n" ); document.write( "\n" ); document.write( "c) Right ok for this one \n" ); document.write( "You have a choice of 5 in the first part - 1 2 3 4 5 \n" ); document.write( "You have a choice of 6 in the second part - 1 2 3 4 5 6 \r \n" ); document.write( "\n" ); document.write( "If you pick 1 for example you have a 1/5 chance of selecting 1 the first time and a 1/6 chance in the second part so multiply 1/5 x 1/6 = 1/30\r \n" ); document.write( "\n" ); document.write( "That is the probability for selecting two of the same.\r \n" ); document.write( "\n" ); document.write( "Hope this has been of some help \n" ); document.write( " |