Question

There are five balls in an urn. They are identical except for color. Two are red, two are blue, and one is yellow. You are to draw a ball from the urn, note its color, and set it aside. Then you are to draw another ball from the urn and note its color. (a) Make a tree diagram to show all possible outcomes of the experiment. Maple Generated Plot Maple Generated Plot Maple Generated Plot Maple Generated Plot Correct: Your answer is correct. (b) Let P(x, y) be the probability of choosing an x-colored ball on the first draw and a y-colored ball on the second draw. Compute the probability for each outcome of the experiment. (Enter your answers as fractions.) P(R, R) = P(R, B) = P(R, Y) = P(B, R) = P(B, B) = P(B, Y) = P(Y, R) = P(Y, B) =

Answer #1

There are ten balls in an urn. They are identical except for
color. Five are red, four are blue, and one is yellow. You are to
draw a ball from the urn, note its color, and set it aside. Then
you are to draw another ball from the urn and note its color.
(b) Let P(x, y) be the probability of
choosing an x-colored ball on the first draw and a
y-colored ball on the second draw. Compute the probability...

9.84. Suppose an urn has b blue balls and r red balls. An
experiment consists of picking a ball at random from the urn, note
its color and then put it back into the urn and add one more ball
of the same color to the urn. Suppose we repeat this experiment
twice. What is the probability that we get a blue ball in the
second attempt?

1. An experiment consists of drawing balls from an urn which
contains 2 red balls, one white ball, and one
blue ball. The balls are drawn, without replacement, until
either a blue ball has been drawn or two different
colors have been drawn. If an outcome of this experiment
consists of an ordered list of the colors of the
balls drawn, how may outcomes exist?
2. An experiment consists of repeatedly drawing a ball from an
urn which contains 3...

An urn contains five blue, six green and seven red balls. You
choose five balls at random from the urn, without replacement (so
you do not put a ball back in the urn after you pick it), what is
the probability that you chose at least one ball of each
color?(Hint: Consider the events: B, G, and R, denoting
respectively that there are no blue, no green and no red balls
chosen.)

An urn contains 10 red balls, 7 green balls, and 3 yellow balls.
Draw 5 balls.
What's the probability that you draw 2 red, 2 green, and 1
yellow?
(Same experiment as above) What's the probability that you draw
2 red, 1 green, and 2 yellow?

In an urn, there are 20 balls of four colors: red, black, yellow
and blue. For each color, there are 5 balls and they are numbered
from 1 to 5.
1) If one ball is randomly drawn from the urn, what is the
probability that the randomly selected ball is red or blue?
2) If one ball is randomly drawn from the urn, what is the
probability that the randomly selected ball is numbered 1 or
blue?

Question2.
An urn initially contains r red balls and b blue balls. In each
step, a ball is chosen uniformly at random, and then put back into
the urn together with a new ball of the same color. Let Ri be the
event that in step i a red ball is chosen from the urn. Show that
P(R1 ∩ R2) = P(R2 ∩ R3).

An urn contains 9 red balls, 7 blue balls and 6 green
balls. A ball is selected and its color is noted then it is placed
back to the urn. A second ball is selected and its color is noted.
Find the probability that the color of one of the balls is red and
the color of the other ball is blue.
A. 0.2603
B. 0.2727
C. 0.4091
D. 0.3430

Suppose that there is a white urn containing three white balls
and one red ball and there is a red urn containing two white balls
and four red balls. An experiment consists of selecting at random a
ball from the white urn and then (without replacing the first ball)
selecting at random a ball from the urn having the color of the
first ball. Find the probability that the second ball is red.
-please state answer in fraction-

An urn contains 7 red balls, 18 blue balls and 15
green balls. A ball is selected and its color is noted and then it
is placed back to the urn. A second ball is selected and its color
is noted. Find the probability of that both balls has the same
color.
A. 0.1575
B. 0.3738
C. 0.3750
D. 0.1750

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 15 minutes ago

asked 15 minutes ago

asked 29 minutes ago

asked 29 minutes ago

asked 33 minutes ago

asked 44 minutes ago

asked 44 minutes ago

asked 53 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago