Acouple plans to have 3 children. the gender of each child is equally likely. design a simulation involving 35 trials that you can use to model the genders of the children. write your answers as numbers.

Computers eat this sort of stuff up for a snack. If you like I can run the simulation for you. In the meantime, you can set up the simulation yourself. It is like flipping a coin 35 times. 

Child 1    Child 2    Child 3
M              M            M
M              M            F
M              F             M
M              F             F
F               M            M
F               M            F
F              F              M
F              F              F

No Males                 1/8
1 Male 2 females     3/8
2 Males 1 female     3/8    
No Females             1/8

Now you need to deal with the 35 

Take each of the probabilities and multiply by 35

No males = 1/8 * 35 = 4.375
1 M 2 Fe  = 3/8 * 35 = 13.125
2 M 1 Fe  = 3/8 * 35 = 13.125
3 M          = 1/8 * 35 =  4.375
Total = 35.

Just in case you are interested, I'll post a simulation of a million trials to see how close they come to the theoretical expectations. I do this in comments a bit later.
It should come to about 1/8, 3/8 3/8 and 1/8. We'll see if it does.

The simulation you seek would be coin tossing. Heads and Tails will give exactly the same results.

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