Part 1A
Box 1 has 5 red and 4 green balls. Total 9 bals.
We will transfer 3 balss out of these 9, to box 2 and need to find
the probability that out of these 3 balls, 2 are red and 1 is
green. The whole situation of transferring these balls to Box and
then picking one red ball back is given only to confuse.
We can pic these three balss in the following possible combinations
RGR
GRR
RRG
During the first draw, the total number of balls in the Box 1 is 9,
so the denominator for first draw will be 9.
During the second draw, the total number of balls in the Box 1 is
8, so the denominator for first draw will be 8.
During the third draw, the total number of balls in the Box 1 is 7,
so the denominator for first draw will be 7.
Probability of getting 2 red and 1 green bals = P (RGR) + P (GRR) +
P (RRG)
P (RGR) = 5/9 (5 red balls/ total in box) * 4/8 (4 green balls/
total in box) * 4/7 (4 red bals remaining in box/ total in
box)
P (RGR) = (5* 4* 4)/ (9*8*7)
P (RGR) = 80/504
Similarly
P (GRR) = 4/9 * 5/8 * 4/7
= 80/504
P (RRG) = 5/9 * 4/8 * 4/7
= 80/504
Probability of getting 2 red and 1 green bals = P (RGR) + P (GRR) +
P (RRG)
= 80/ 504 + 80/504 + 80/504
= 240/ 504
= 0.476
part 1B
We will win if we get 2 heads in succession.
This means that the coin with greater probabolity of getting a
heads is most likely to give a victory.
Since P1 (probability of getting heads with coin C1) > P2
(probability of grtting heads with coin C2),
We will choose C1 to begin with.
IA Box 1 contains 5 red and 4 green balls and box 2 contains 4 red...
1. One box contains seven red balls and three green balls, and a second box contains six red balls and four green balls. A ball is randomly selected chosen from the first box and placed in the second box. Then a ball is randomly selected from the second box and placed in the first box. a. What is the probability that a red ball is selected from the first box and a red ball is selected from the second box?...
1 One box contains seven red balls and three green balls, and a second box contains six red balls and four green balls. A ball is randomly selected chosen from the first box and placed in the second box. Then a ball is randomly selected from the second box and placed in the first box. a. What is the probability that a red ball is selected from the first box and a red ball is selected from the second box?...
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