Respuesta :
The estimated probability that at least two of the puppies will be female is 60%.
What is probability?
Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Let heads (H) be the female puppy
Let tails (T) be the male puppy.
The simulation results are the sample spaces.
[tex](THTT, TTTH, TTHH, HTTT, TTTT, HHHH, HTHT, HHHT, THTH, THTH)[/tex]
⇒ [tex]n(s)=10[/tex]
The event is the probability that at least two of the puppies will be
female.
[tex]e=(TTHH, HHHH, HTHT, HHHT, THTH, THTH )\\[/tex]
⇒ [tex]n(e)=6[/tex]
The estimated probability that at least two of the puppies will be
female, [tex]P(e)=\frac{n(e)}{n(s)}[/tex]
⇒ [tex]P(e)=\frac{6}{10}[/tex]
⇒ [tex]P(e)=0.6[/tex]
Thus the percentage of the female puppies = [tex](0.6)(100)[/tex]
⇒ [tex]60\%[/tex]
Hence we can conclude that the estimated probability that at least two of the puppies will be female is 60%.
Learn more about probability here
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