Question

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.)

Answer 1

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,

→ $P(\frac{T}{U} ) = \frac{P(T)\times P(\frac{U}{T} )}{P(U)}$

By substituting the values, we get

→ $\frac{P(T)}{P(U)} = \frac{0.27}{3.79}$

→         $=0.071$

Thus the above answer is correct.

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