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Assume that it is equally likely for a child to be born a boy or a girl, and that the Lin family is planning on having three children. List the elements of the event that the Lins have at least one girl. (Use B to represent boy, and G to represent girl. For example, if there are three girls born, it would be represented as GGG).

Respuesta :

MrRoyal

Answer:

[tex]List = \{GBB; BGB; BBG; GGB; BGG; GBG; GGG\}[/tex]

Step-by-step explanation:

Given

[tex]Children = 3[/tex]

Required

List all cases of having at least 1 girl

We have:

[tex]B = Boy[/tex]

[tex]G = Girl[/tex]

For 1 girl, we have:

GBB; BGB; BBG

For 2 girls, we have:

GGB; BGG; GBG

For 3 girls, we have:

GGG

Hence, the list is:

[tex]List = \{GBB; BGB; BBG; GGB; BGG; GBG; GGG\}[/tex]

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