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Box A contains the numbers 1,2,3 and 4. Box B containsthe numbers 5,6,7 and 8. A

ID: 2955320 • Letter: B

Question

Box A contains the numbers 1,2,3 and 4. Box B containsthe numbers 5,6,7 and 8. A number is first drawn from box Aand then another number from box B. Using the figure, howmany outcomes are possible if both numbers are even 1 ------5             6             7             8 2-------5             6             7             8 3-------5             6             7             8 4-------5             6             7             8 Box A contains the numbers 1,2,3 and 4. Box B containsthe numbers 5,6,7 and 8. A number is first drawn from box Aand then another number from box B. Using the figure, howmany outcomes are possible if both numbers are even 1 ------5             6             7             8 2-------5             6             7             8 3-------5             6             7             8 4-------5             6             7             8

Explanation / Answer

There are 16 TOTAL possible outcomes, (4 numbers in Box A times 4numbers in Box B). 1 then 5 or 6 or 7 or 8= 4 outcomes 2 then 5 or 6 or 7 or 8 = 4 outcomes 3 then 5 or 6 or 7 or 8 = 4 outcomes 4 then 5 or 6 or 7 or 8 = 4 outcomes ============================== 1/2 the numbers in Box A are even 1/2 the numbers in Box B are even so 1/2 * 1/2 * 16 = 4 There are 4 possible outcomes where both numbers drawn areeven: 2+6 2+8 4+6 4+8

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