Box a contains two red cards and one black card, and box b contains one red card and two black cards. an experiment consists of randomly selecting one card from box a and placing the selected card into box b. then, one card is selected from box b. what is the probability that a red card is selected from box b?

5/12

Step-by-step explanation:

Box A: 2 Red

           1 Black

Box B: 1 Red

           2 Black

One card is selected from Box A and placing the selected card into Box B.

One card is selected from Box B.

What is the probability that a red card is selected from Box B?

Two things can occur:

1) Select red from A and B:

2/3 * 2/4 = 1/3

2) Select black from A and red from B:

1/3 * 1/4 = 1/12

As 1) or 2) can occur:

1/3 + 1/12 = 5/12

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this