Question
In: Statistics and Probability
Bowl 1 contains 7 red and 3 white chips. Bowl 2 contains 4 red and 5...
Bowl 1 contains 7 red and 3 white chips. Bowl 2 contains 4 red and 5 white chips. A chip is randomly selected from Bowl 1 and placed in Bowl 2, then two chips are drawn from Bowl 2 without replacement. Find the probability that both chips drawn from Bowl 2 are red.
Solutions
orchestra answered 2 years agoRelated Solutions
Bowl A contains three red and two white chips, and bowl B contains four red and...
Bowl A contains three red and two white chips, and bowl B
contains four red and three white chips. A chip is drawn at random
from bowl A and transferred to bowl B. Compute the probability of
then drawing a red chip from bowl B.
Let P(A)=0.3P(A)=0.3 and P(B)=0.6P(B)=0.6. Find P(A∪B)P(A∪B)
when AA and BB are indepdenent.
Let P(A)=0.3P(A)=0.3 and P(B)=0.6P(B)=0.6. Find P(A|B)P(A|B)
when AA and BB are mutually exclusive.
1. Box #1 contains 4 red chips and 1 white chip. Box #2 contains 3 red,...
1. Box #1 contains 4 red chips and 1 white chip. Box #2 contains
3 red, 1 black and 6 white chips. The experiment consists of
randomly picking a box, then randomly picking a chip from it. Find
the probability that: (a) A red chip is drawn from Box #1:
___________________________________ (b) A red chip is drawn, given
that Box #1 was picked: ________________________________ (c) Box #1
was picked, given that the chip is black:
_____________________________
Suppose that a bag contains 3 red chips and 7 white chips. Suppose that chips are...
Suppose that a bag contains 3 red chips and 7 white chips.
Suppose that chips are drawn from the bag with replacement, i.e.
the chips are returned to the bag and shuffled before the next chip
is selected. Identify the correct statement.
a.
If ten chips are selected then seven will definitely be
white.
b.
If seven consecutive white chips are selected then the next chip
will definitely be red.
c.
If many chips are selected then, in the long...
A bag contains 3 white chips and 3 red chips. you repeatedly draw a chip at...
A bag contains 3 white chips and 3 red chips. you repeatedly
draw a chip at random from the bag. if it's white, you set it
aside; if it's red, you put it back in the bag. after removing all
3 white chips, you stop. what is the expected number of times you
will draw from the bag?
Box 1 contains 3 red balls, 5 green balls and 2 white balls. Box 2 contains...
Box 1 contains 3 red balls, 5 green balls and 2 white balls. Box
2 contains 5 red balls, 3 green balls and 1 white ball. One ball of
unknown color is transferred from Box 1 to Box 2. (a) What is the
probability that a ball drawn at random from Box 2 is green? (b)
What is the probability that a ball drawn from Box 1 is not
white?
A hat contains a number of cubes: 3 red, 2 white, 1 blue, and 4 black....
A hat contains a number of cubes: 3 red, 2 white, 1 blue, and 4
black.
If one cube is chosen at random, what is the probability that
it is:
A red cube? (3 points)
Not a red cube? (3 points)
A cube that is white OR black? (4 points)
A cube that is neither white nor black? (4 points)
What do the answers to part a and part b add up to and why? (5
points)
If three cubes...
An urn contains 4 white balls and 6 red balls. A second urn contains 7 white...
An urn contains 4 white balls and 6 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 0.1. 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...
An urn contains 7 black balls, 4 red balls, 3 white balls and 1 blue ball,...
An urn contains 7 black balls, 4 red balls, 3 white balls and 1
blue ball, and a player is to draw one ball. If it is black, he
wins $1, if it is red, he wins $2, if it is white he wins $3 and if
it is blue, he pay $25.
a. Set up the empirical probability distribution for the random
variable X, the payoff of the game.
Game Payoff (X)
Probability [P(X)
$1
$2
$3
$4
b....
We have 3 bowls, 1) The first bowl contains 3 red and 2 green balls 2)...
We have 3 bowls,
1) The first bowl contains 3 red and 2 green balls
2) the second bowl contains 2 red and 1 white balls
3) the third one contains 1 red and 3 green balls
One bowl by the random is selected and then 2 balls will be
drawn. what is the probability that both of these balls will be
red?
We have 3 bowls, 1) The first bowl contains 3 red and 2 green balls 2)...
We have 3 bowls,
1) The first bowl contains 3 red and 2 green balls
2) the second bowl contains 2 red and 1 white balls
3) the third one contains 1 red and 3 green balls
One bowl by the random is selected and then 2 balls will be
drawn. what is the probability that both of these balls will be
red?
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