Question

Answer #1

let say A_{i} = choosen ball is from ith urn.

In question there are 3 urn so P(A_{1}) =
P(A2) = P(A3) = 1/3-----------------(i)

B = getting white ball

B|A_{i} = getting
white ball from ith Urn

P(B_{1}) = 10/(10+10) = 1/2----------------(ii)

P(B_{2}) = 4/(4+8) = 1/3-------------------(iii)

P(B_{3}) = 10/(10+5) =2/3----------------(iv)

As per the question we are asked to calculate P(A_{3}/B)
means if choosen ball is white probability it came from 3rd
urn.

As per Bayes Probability theorem we know that---->

P(**A|B**) = *P( A)
*P(B|A)
/ *

**so** P(**A _{3}|B**) =
P(

**P(B) = P(A _{1})*P(**
B|A

**using results** from (i) (ii) (iii) (iv)

we get P(B) = (1/3)*(1/2) + (1/3)*(1/3) + (1/3)*(2/3) = 1/2

so from equation (v)

P(**A _{3}|B**) = (1/3)*(2/3)/(1/2) =

An urn contains 3 white balls and 7 red balls. A second urn
contains 7 white balls and 3 red balls. An urn is selected, and the
probability of selecting the first urn is 0.2. A ball is drawn from
the selected urn and replaced. Then another ball is drawn and
replaced from the same urn. If both balls are white, what are the
following probabilities? (Round your answers to three decimal
places.)
(a) the probability that the urn selected...

An urn contains two red balls and three white balls.
If a ball is chosen at random, what is the probability that it
is white?
Group of answer choices
0
1
2/5
1/5
3/5
An urn contains two red balls and three white balls.
Suppose two balls are drawn randomly. What is the probability
that both will be white?
Group of answer choices
1/10
3/20
6/20
9/20
9/25

Suppose that an urn contains 8 red balls and 4
white balls. We draw 2 balls
from the urn without replacement.
Now suppose that the balls have
different weights, with each red ball having weight
r and each white ball having weight w. Suppose that the
probability that a given ball in
the urn is the next one selected is its weight divided by the
sum of the weights of all
balls currently in the urn.
Now what is the...

Given 3 urns, one contains 2 black balls, the second contains 2
white balls, and the third contains 1 ball of each color. An
urn is chosen at random and a ball is drawn from it -- the ball is
white. What is the probability that the other ball in that urn is
also white?

An
urn contains 8 white balls and 6 red balls. If Sam chooses 5 balls
at random from the urn, what is the probability that he will select
3 white balls and 2 red balls? Round your answer 3 decimal
places.

Suppose that:
Urn U1 contains 3 blue balls and six red balls, and
Urn U2 contains 5 blue ball and 4 red balls
Suppose we draw one ball at random from each urn. If the two
balls drawn have different colors, what is the probability that the
blue ball came from urn U1?

Urn 1 contains 7 red balls and 3 black balls. Urn 2 contains 4
red balls and 1 black ball. Urn 3 contains 4 red balls and 3 black
balls. If an urn is selected at random and a ball is drawn, find
the probability that it will be red.
enter your answer as a decimal rounded to 3 decimal places

Three balls are randomly drawn from an urn that contains four
white and nine red balls. (a) What is the probability of drawing a
red ball on the third draw? (Round your answer to 3 decimal
places.) Correct: Your answer is correct. (b) What is the
probability of drawing a red ball on the third draw given that at
least one red ball was drawn on the first two draws? (Round your
answer to 3 decimal places.]

Urn A has 8 Red balls and 5 Green balls while Urn B has 1 Red
ball and 3 Green balls.
A fair die is tossed. If a “5” or a “6” are rolled, a ball is drawn
from Urn A. Otherwise, a ball is drawn from Urn B.
(a) Determine the conditional probability that the chosen ball is
Red given that Urn A is selected?
(b) Determine the conditional probability that the chosen ball is
Red and Urn B...

Urn 1 contains 4 red balls and 3 black balls. Urn 2 contains 1
red ball and 3 black balls. Urn 3 contains 4 red balls and 2
black balls. If an urn is selected at random and a ball is
drawn, find the probability that it will be red.
Enter your answer as a fraction in simplest form or a decimal
rounded to 3 decimal places.
P(red)=

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 50 seconds ago

asked 2 minutes ago

asked 19 minutes ago

asked 38 minutes ago

asked 51 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago