Question

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.

Answer 1

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

Explanation:

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

`\text{ P\lparen A\rparen=}\frac{\text{ Number of favorable outcomes}}{Total\text{ number of possible outcomes}}`

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:

`\begin{gathered} 30-100 \\ x-31 \\ x=(31*30)/(100) \\ x=9.3\text{ \%} \end{gathered}`

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