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You will need a die for this game. Use this link if you want.
http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks1/maths/dice/six.htm
Roll the die and use the number to choose.

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Number of births
Rolled 1- 2
Rolled 2- 4
Rolled 3- 6
Rolled 4- 3
Rolled 5- 1
Rolled 6- 5

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Now you have the number of births the sexes and number of babies needs to be decided. Naming and looks are up to you.

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Birth 1
Rolled 1- DD/DD
Rolled 2- DD
Rolled 3- DD/DS
Rolled 4- DS
Rolled 5- DS/DS/DS
Rolled 6- DS/DD

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Birth 2
Rolled 1- DD
Rolled 2- DD/DD
Rolled 3- DD/DS
Rolled 4- DD/DS
Rolled 5- DS/DS
Rolled 6- DS

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Birth 3
Rolled 1- DD
Rolled 2- DD
Rolled 3- DD
Rolled 4- DS
Rolled 5- DS
Rolled 6- DS

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Birth 4
Rolled 1- DD/DD/DD/DD
Rolled 2- DD/DS/DS
Rolled 3- DD/DD
Rolled 4- DS/DS/DD/DD
Rolled 5- DS/DS
Rolled 6- DS/DS/DD

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Birth 5
Rolled 1- DD
Rolled 2- DS
Rolled 3- DD
Rolled 4- DD
Rolled 5- DS
Rolled 6- DS

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Birth 6
Rolled 1- DD/DS
Rolled 2- DD/DD/DD/DD
Rolled 3- DD
Rolled 4- DS/DD
Rolled 5- DS
Rolled 6- DD/DD/DS/DS/DS

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What do you think??