Question

A box contains one white ball, two red balls, and three black balls. Make a box model.

**Five** draws are made with replacement from the
box. Find the chance that:

a) A **red** ball is never drawn.

b) A **black** ball appears exactly three
times.

c) A **white** ball appears at least once.

Answer #1

There are five red balls and three white balls in a box. An
experiment consist of drawing three balls in succession. Once a
ball is drawn, it is not replaced. a. What is the probability that
two or more red balls will be obtained in the three draws? b. What
is the probability that exactly two white balls and one red ball
will be obtained in the three draws? c. Given a white ball is
selected on the first draw,...

A box contains 20 black balls and 80 white ones. One hundred
balls are drawn at random with replacement.
Find the expected number of black ball among the
draws.

A box contains 10 red balls and a single black ball. Balls are
drawn (one at the time) without replacing until the black ball is
drawn. Let X = number of balls drawn before the
black ball is drawn. Find the p.m.f, the expected value and the
standard deviation of X.

Exercise 2 A box contains 3 white balls, 4 red balls and 5 black
balls. A ball is picked, its color recorded and returned to the
box(with replacement). Another ball is then selected and its color
recorded.
1. Find the probability that 2 black balls are selected.
2. Find the probability that 2 balls of the same color are
selected.
Now 4 balls are picked with replacement
3.Find the probability no red balls are selected.
4.Find the probability that the...

a box contains two red balls , one white ball and one blue ball.
A sample of two balls was drawn randomly, respectively (without
return), If the variable X express the number of white balls and
the variable Y express the number of blue balls in the sample, find
:
A- Fxy(0,1)
B- Coefficient of correlation between the two variables and then
commented on it

Box I contains 7 red and 3 black balls; Box II contains 4 red
and 5 black balls. After a randomly selected ball is transferred
from Box I to Box II, 2 balls are drawn from Box II without
replacement. Given that the two balls are red, what is the
probability a black ball was transferred?

A bag contains red balls and white balls. If five balls
are to be pulled from the bag, with replacement, the probability of
getting exactly three red balls is 32 times the probability of
getting exactly one red ball. What percent of the balls originally
in the bag are red?

A box contains 4 red and 6 black balls. Two balls are selected
one after the other,
a) What is the probability that the first ball selected is black
and the second ball selected is also black, if the selection is
done without replacement.
b) What is the probability that the first ball selected is black
and the second ball selected is red, if the selection is done
without replacement.
c) What is the probability that the first ball selected...

Box A contains 5 white balls and 7 black balls. Randomly choose
one ball. If it is white ball, we randomly draw one more from box
A, and if it is black, we choose one ball from box B, in which
there are 7 white balls and 8 black balls.
a) What is the probability that in the second draw we will
choose a white ball?
b) The second ball is white, what is the probability that the
first one...

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.]

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