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The total area of the United States is 3.79 million square miles, and Texas covers 0.27 million square miles. A meteor falls from the sky and strikes Earth. What is the probability that it strikes Texas given that it strikes the United States? (Round your answer to one decimal place.)

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Cricetus

The probability that it strikes Texas given that it strikes the US will be "0.071".

Given that,

The total area of US,

  • P(U) = 3.79 million square miles

Area covered be Taxes,

  • P(T) = 0.27 million square miles

According to the Baye's theorem,

→ [tex]P(\frac{T}{U} ) = \frac{P(T)\times P(\frac{U}{T} )}{P(U)}[/tex]

By substituting the values, we get

→ [tex]\frac{P(T)}{P(U)} = \frac{0.27}{3.79}[/tex]

→         [tex]=0.071[/tex]

Thus the above answer is correct.

Learn more about probability here:

https://brainly.com/question/16426250

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