The Smiths get 70% of their eggs from farm A and 30% from farm B. 12% of the eggs from farm A and 31% of the eggs from farm B are green. If I go to the Smithsand randomly buy a green egs, what is the probability that the egg is from farm B? Enter answer as a decimal rounded to two digits after the decimal point. Forexample, if your calculated answer is 0.1356, enter 0.14, DO NOT enter 13.56% or 0.1356 or 13.56.

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MisterI362850 MisterI362850 · Answer 1 · 2022-10-28T02:16:27+02:00

Answer:

There is a 0.093 probability of randomly selecting a green egg.

Step-by-step explanation:

The probability of an event is represented by the following equation:

[tex]\text{ P\lparen A\rparen=}\frac{\text{ Number of favorable outcomes}}{Total\text{ number of possible outcomes}}[/tex]

Therefore, if the smiths get 70% of their eggs from farm A, and 30% from farm B.

31% of eggs from farm B are green, to determine the probability of randomly buying a green egg from farm B:

[tex]\begin{gathered} 30-100 \\ x-31 \\ x=\frac{31*30}{100} \\ x=9.3\text{ \%} \end{gathered}[/tex]

There is a 0.093 probability of randomly selecting a green egg.