Consider 3 urns. Urn A contains 2 white and 4 red balls, urnBcontains 8 white and 4 red balls, and urnCcontains 1 white and 3 red balls. If 1 ball is selected from each urn, what is the probability that the ballchosen from urnAwas white given that exactly 2 white balls were selected?

P ( A / E ) = 0.6365

Step-by-step explanation:

Given:

- Urn A : 2 White , 4 Red

- Urn B : 8 White , 4 Red

- Urn C : 1 White , 3 Red

- White = W , Red = R

Find

If 1 ball is selected from each urn, what is the probability that the ball chosen from urn Awas white given that exactly 2 white balls were selected?

Solution:

- Let event E be selecting exactly 2 white balls after going through each urn.

- The possible outcomes for event E can be expressed as:

                       { ( W , W , R ) : ( W , R , W ) : ( R , W , W ) }

- The probability of event E would be as such:

                 P ( E ) = P ( W , W , R ) + P( W , R , W ) + P ( R , W , W )

                 P ( E ) = ( 2/6 * 8/12 * 3/4 ) + ( 2/6 * 4/12 * 1/4 ) + ( 4/6 * 8/12 * 1/4 )

                 P ( E ) = 0.1667 + 0.0278 +  0.11111

                 P ( E ) = 0.30561

- Let event A be selecting a white ball from urn A and exactly two white balls in total are picked:

                 P ( A & E ) = P ( W , W , R ) + P( W , R , W )

                 P ( A & E ) = ( 2/6 * 8/12 * 3/4 ) + ( 2/6 * 4/12 * 1/4 )

                 P ( A & E ) = 0.1667 + 0.0278

                 P ( A & E ) = 0.1944

- The conditional probability of choosing a white ball from urn A given that exactly 2 W balls are selected among three urns:

                P ( A / E ) = P ( A & E ) / P ( E )

                P ( A / E ) = 0.1944 / 0.30561

                P ( A / E ) = 0.6365

the two may have that, even a breakdown is probably offered

the camry sales+accord sale=828,000. to make it so the two numbers are 18 thousand apart and still equal 828,000, you first need to find out what half of 828,000 is. 828,000/2=414,000. for the two numbers to equal 828,000, you have to add the same amount as you subtract from the middle. in this case, the number is 9,000 because it's half of 18,000. to equal 828,000, you have to add 9,000 to 414,000 for the camry and subtract 9,000 from 414,000 for the accord. 414,000+9,000=423,000.

414,000-9,000=405,000.

423,000+405,000=828,000.

423,000-405,000=18,

hope it