8. A game consists of selecting one ball from a box which contains 7 red balls...

Question

Question

8. A game consists of selecting one ball from a box which contains 7 red balls and 3 green balls. If you select a green ball

Answer 1

Answer #1

Solution

Given that ,

n = 12

p = 0.3

Using binomial probability formula ,

P(X = x) = (_n C _x) * p^x * (1 - p)^{n - x}

P(X = 4) = (₁₂ C ₄) * 0.3⁴ * (0.7)⁸

Probability = 0.2311

(d)

Answer 2

Similar Homework Help Questions

4. *A box contains 3 white balls, 4 black balls, and 3 red balls. Consider selecting...

4. *A box contains 3 white balls, 4 black balls, and 3 red balls. Consider selecting 3 balls at random (a) What is the probability that you pick exactly one of each color when you select 3 balls from the box? (b) What is the probability that you pick exactly 2 white balls and 1 red ball? (c) What is the probability that at least one of the balls is white when you select 3 balls from the box?
IA Box 1 contains 5 red and 4 green balls and box 2 contains 4 red...

IA Box 1 contains 5 red and 4 green balls and box 2 contains 4 red and 6 green balls. Three balls are randomly drawn from box 1 and placed in box 2. Then a ball is taken from box 2. If the ball taken from box 2 is found red, find the probability that 2 red and 1 green balls are transferred from box 1 to box 2? IB. Two coins Ci and C2 have a probability of falling...
Probability question *A box contains 3 white balls, 4 black balls, and 3 red balls. Consider...

Probability question *A box contains 3 white balls, 4 black balls, and 3 red balls. Consider selecting 3 balls at random. (a) What is the probability that you pick exactly one of each color when you select 3 balls from the box? (b) What is the probability that you pick exactly 2 white balls and 1 red ball? (c) What is the probability that at least one of the balls is white when you select 3 balls from the box?

A box contains 6 red balls, 3 green balls, 7 blue balls, and 2 white balls....

A box contains 6 red balls, 3 green balls, 7 blue balls, and 2 white balls. If two balls are two be selected with replacement, find the probability of selecting a red and blue ball. Oa. 0.10 O b.0.15 Oc. 0.13 Od.0.08
1. One box contains seven red balls and three green balls, and a second box contains...

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...

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?...

A box contains two red balls and three green balls. Make a box model. Six draws...

A box contains two red balls and three green balls. Make a box model. Six draws are made with replacement from the box. Find the chance that: a) A red ball is never drawn. b) A green ball appears exactly three times. c) A green ball appears at least twice.
Q3. A box in a certain supply room contains 15 green balls and 8 red balls....

Q3. A box in a certain supply room contains 15 green balls and 8 red balls. Suppose that four balls are randomly selected without replacement. (a) What is the probability that exactly two of the selected balls are red? (b) What is the probability that at least one of the selected balls are green? (c) Suppose that there are now 15 green balls and 8 red balls and 4 yellow balls. What is the probability that exactly one of the...
2. A box contains 5 red balls, 7 white balls, and 8 black balls. Four balls...

2. A box contains 5 red balls, 7 white balls, and 8 black balls. Four balls are randomly chosen (without replace- ment). What is the probability that (a) 1 red ball, 2 white balls, and 1 black ball are chosen? (b) exactly two red balls are chosen? (c) the first chosen is black, the last three chosen are two white balls and one black ball?

Let P(RIB1) 2/5 be the probability of selecting a red ball at random from Box 1...

Let P(RIB1) 2/5 be the probability of selecting a red ball at random from Box 1 which consists of 2 red balls and 3 white balls. Also assume that there is another Box called Box 2 which consists of 1 red ball and 2 white balls. An individual is asked to choose one of the two boxes at random so that PB1)-P(B2)-112. After choosing a box, a ball is selected at random from that box and the ball is observed...