Respuesta :
The estimated Probability that three out of four randomly chosen teenagers do not prefer watching a movie theater is [tex]\frac{1}{4}[/tex].
What is Probability?
"Probability is the branch of Mathematics concerning numerical descriptions of how likely an event to occur, or how likely is that proposition is true".
According to the question,
Survey found that 50% of teenagers prefer to watch a movie at a theater over other viewing options.
Flip a fair(unbiased) coin four times.
Number of Sample space n(s)
{ (HHHH),(HHHT),(HHTH),(HTHH),(THHH),(HTTT),(THTT)(,TTHT),(TTTH),(TTHH),(HHTT),(THTH),(THHT),(HTTH), (THHT),(TTTT)}
Formula to find Number of Space = 2ⁿ.
=2⁴ = 16.
Heads representing teenagers who to prefer watching a movie at a Theater.
Tails representing teenagers who does not to prefer watching a movie at a theater.
Formula for Probability of an event =[tex]\frac{Number of favourable outcomes }{Total Number of Outcomes}[/tex]
Probability that three out of four randomly chosen teenagers do not prefer watching a movie theater
= [tex]\frac{4}{16}[/tex] =[tex]\frac{1}{4}[/tex]
Hence, Probability that three out of four randomly chosen teenagers do not prefer watching a movie theater is [tex]\frac{1}{4}[/tex]
To learn more about Probability here
https://brainly.com/question/10174774
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