Use a tree diagram to explain why the probability that a family with four children has either all four children of the same gender is 18 . Assume that the probability of having a girl is equal to the probability of having a boy.

Question

anonymous · Answer

What do you think? And did they provide a tree diagram?

anonymous · Answer

No I have to draw one myself

anonymous · Answer

I'm not really sure where to start, I know how to draw the tree diagram and I've drawn it but I've only gotten as far as to see why the first child is a 50/50 chance

jadedry · Answer

The probability of having 4 kids that are girls = $$(1/2 )^4$$ =$$1/16$$

The probability of having 4 kids that are boys = $$(1/2 )^4$$ =$$1/16$$

$$1/16 + 1/16  = 2/16 = 1/8$$

You did mean 1/8 , right? It's impossible for probability to be "18", its maximum number will always be 1. Which means that a event has a 100% of happening

jadedry · Answer

I assume you can draw the tree diagram with this information, but feel free to ask me for more help. c:

anonymous · Answer

Yes I meant 1/8 sorry for the confusion! Thank you so much though this really helped!

jadedry · Answer

@pianistatheart 

Happy to help! c: