G(1 point) Two marbles are drawn randomly one after the other without replacement from a jar that contains 3 red marbles, 3 white marbles, and 6 yellow marbles. Find the probability of the following events, accurate to 4 decimal places. (a) A red marble is drawn first followed by a white marble. The probability is : (b) A white marble is drawn first followed by a white marble. The probability is : (c) A yellow marble is not drawn at all. The probability is :

(a)

(b)

(c)  

Step-by-step explanation:

We are given that Two marbles are drawn randomly one after the other without replacement from a jar that contains 3 red marbles, 3 white marbles, and 6 yellow marbles.

So, total number of marbles = 3 + 3 + 6 = 12 marbles

(a) Probability that a red marble is drawn first followed by a white marble is given by;

First P(drawing red marble) =

Now, since one red marble has been drawn so now the total marbles remaining will be 12 - 1 = 11 marbles and from this white marble will be drawn.

P(drawing white marble) =

Therefore, Probability that a red marble is drawn first followed by a white marble = = .

(b) Probability that a white marble is drawn first followed by a white marble is given by;

P(drawing first white marble) =

Now, the white marbles remaining are 3 - 1 = 2 marbles and total number of marbles are 12 - 1 = 11 marbles.

So, P(drawing another white marble) =

Therefore, Probability that a white marble is drawn first followed by a white marble = = .

(c) Probability that a yellow marble is not drawn at all is given by;

Now both the marbles will be drawn from red and white marbles i.e. 6   marbles and total marbles will be 12

So, probability that a yellow marble is not drawn at all = =

                        = = = = .

unpaid balance is : $149.99-$50 = $99.99 new balance = 149.99+2.62-50 = $102.61 finance charge = 99.99- 0.21/12= $1.75 new balance = 99.99+1.75 = $101.74 average daily balance method average daily balance= 3399.70/30 = $113.32 finance charge = $ 0.21/12ă—113.32 = $1.98 new balance = $149.99-50+1.98 = $101.97