Michael has a box of colored balls. It contains two red balls, two green balls, two yellow balls, and five blue balls. Michael draws a ball at random from the box
Let R denote the event that the ball he draws is red, and let B
denote the event that the ball he draws is blue.
What is Pr(R|B)?
What is Pr(R|B′)?
Enter your answers as whole numbers or fractions in lowest
terms.
A bag contains four 1-dollar bills, three 5-dollar bills, and
two 10-dollar bills. An experiment consists of drawing three random
bills from the bag simultaneously. Thus, the experiment has
C(9,3)=84 equally likely outcomes in its sample space.
What is the probability that at most one 5-dollar bill was drawn,
given that no 10-dollar bills were drawn?
Enter your answer as a fraction in lowest terms.
Suppose A={b,c,d,e,f}
A subset of A is selected at random -- i.e. all subsets have an
equal chance of being selected. If the subset is not empty, what is
the probability it contains the element b?
Provide your valuable feedback and like if you are satisfied with the answer ???
Michael has a box of colored balls. It contains two red balls, two green balls, two...
A bowl contains 5 blue balls, 3 red balls and 2 green balls. If two balls are drawn successively at random without replacement, what is the probability of: (a) drawing a red ball on each of the two draws? (b) drawing a red ball on the second draw? (c) drawing a red ball on at least one of the two draws? (d) red on the first draw and blue on the second draw? (e) blue on the first draw given...
Box 1 contains a red balls and b white balls. Box 2 contains c red balls and d white balls. One ball is randomly drawn from Box 1 and put into Box 2, and then one ball is randomly drawn from Box 2 and put back in Box 1. Finally, one ball is drawn at random again from Box 2. Let X denote the number of red balls drawn from Box 2 the 2nd time. Write down the distribution of...
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.
3. (9 points) A box contains three blue balls and two red balls. Two balls are randomly drawn from the box one after another without replacement. Determine the probability that (a) two drawn balls are both red. (b) one ball is red and one ball is blue. (c) at least one of two drawn balls is blue.
Question 3. (exercise 3.11-13 in textbook) An urn contains r red balls and b blue balls. A ball is chosen at random from the urn, its color is noted, and it is returned together with d more balls of the same color. This is repeated indefinitely. What is the probability that (a) The second ball drawn is blue? (b) The first ball drawn is blue given that the second ball drawn is blue? (c) Let Bn denote the event that...
Question 3. (exercise 3.11-13 in textbook) An urn contains r red balls and b blue balls. A ball is chosen at random from the urn, its color is noted, and it is returned together with d more balls of the same color. This is repeated indefinitely. What is the probability that (a) The second ball drawn is blue? (b) The first ball drawn is blue given that the second ball drawn is blue? (c) Let Bn denote the event that...
this is the last problem. 6. A jar contains 5 red balls and 5 black balls. Two balls are successively drawn from the jar. After the first draw the color of the ball is noted, and then the selected ball is returned to the jar together with another ball of the opposite color. In other words, if a red ball is drawn it is returned to the jar together with another black ball; if black ball is drawn it is...
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
Urn A contains two red balls and eight blue balls. Urn B contains two red balls and ten green balls. Six balls are drawn from urn A and four are drawn from urn B; in each case, each ball is replaced before the next one is drawn. What is the most likely number of blue balls to be drawn? What is the most likely number of green balls to be drawn?
discrete math 1) a. A box contains 4 marbles: 1 red, 1 blue, 1 green, 1 yellow. Consider an experiment that consists of taking 1 marble from the box, replacing it and then drawing a second marble. Describe the sample space. How does the sample space differ if the first marble was not replaced before the second marble was drawn? (2 marks) a. A bag contains 5 red balls and 8 blue balls. Each time a ball is selected, its...