The probability that 3 random Americans are selected to get a flu shot is 0.1205.
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
46.8% of Americans get a flu shot each season according to the center for control.
Now,
46.8% = 0.468
The probability that a person gets a flu shot is P(f).
Then the probability that the first, second, and third person get a flu shot will be:
P( f ∩ f ∩ f ) = P( f ) × P( f ) × P( f )
P( f ∩ f ∩ f ) = 0.468 × 0.468 × 0.468
P( f ∩ f ∩ f ) = 0.219024 × 0.468
P( f ∩ f ∩ f ) = 0.102503232
Hence, the required probability is 0.1025.
Learn more about probability here:
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