3. In an urn there are 12 red balls, 8 blue balls and 9 green balls. Five balls will be drawn one-by-one from the urn. (a) If there is replacement (we put the ball back into the urn in each draw), what is the probability that two blue balls are selected?

Q: Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at…

A: If n objects are drawn without replacement from N objects of which a objects are of type 1 and b…

Q: Suppose that a box contains 5 RED blocks, 4 BLUE blocks, and 3 GREEN blocks.  Suppose that 6 are…

A: It is given that the box contains 5 RED blocks, 4 BLUE blocks, and 3 GREEN blocks.   We are drawing…

Q: Suppose an experiment consists of first picking a ball from an urn and then rolling a single die.…

A: Given data  fist pick a ball from urn and the roll a single die.      urn : 1 blue, 1 brown, one…

Q: A box contains 10 balls of which 5 are red and 5 are white. If two balls are randomly drawn with…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: A box contains 4 red balls, 8 white balls, and 6 black balls. Two balls are drawn at random from the…

A: probability of an event =number of choices of an event / number of total choices of sample space

Q: committee of 3 is to be chosen from 14, 10 females and 4 males, at random. Josue is one of the…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: Suppose there are 36 red balls and 2 yellow balls in a box. Two balls are drawn from the box without…

A:

Q: In an urn there are 40 white and 60 black balls. 20 balls are removed. What is the probability that…

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: 3. An urn contains 9 silver balls and 3 gold balls. (a) Choose 5 balls at random without…

A:

Q: Suppose that there are 2 red balls, 1 blue ball, and 2 white balls in an urn. A ball is drawn and…

A: There are total (2+1+2)=5 balls in the urn. Let R= Red , B= Blue , W= White  Number in suffix will…

Q: We have an urn with three green balls and two yellow balls. We pick a sample of two without…

A: a) Either we pick both the yellow balls OR 2 of the three green balls    P(both…

Q: 3. A 3-digit number is form from the numbers 1, 2, 3, 4, 5 without replacement. Find the probability…

A:

Q: 8. Urn A has four red, three blue, and two green balls. Urn B has two red, three blue, and four…

A: Conditional probability is calculated for the event of which other event is already occurred. In the…

Q: An urn contains 5 green, 1 red, and 2 blue balls. Two balls are taken from the urn, one after the…

A: From the given information,An urn contains 5 green, 1 red, and 2 blue balls.Total number of balls is…

Q: 4. Bowl A contains 60 black chips and 40 white chips. Fifty of these 100 chips are selected at…

A: Given,no.of black chips=60no.of white chips=40total no.of chips=100

Q: An urn has 2 red, 4 white, and 3 blue balls in an urn and two are drawn one after another without…

A: Total number of balls in an urn,

Q: 16. A bag contains 10 white balls and 5 black balls. If 3 balls are drawn in succession without…

A: We have find given probability.

Q: Urn 1 contains 2 red and 4 blue marbles, urn 2 contains 10 red and 2 blue marbles. If an urn is…

A: Introduction: Suppose X and Y are two events, with respective probabilities P (X) and P (Y). Denote…

Q: Suppose that there are 1 red ball, 1 blue ball, and 3 white balls in an urn. A ball is drawn and…

A: Given Data: Number of red balls=1 Number of blue balls=1 Number of white balls=3 Total number of…

Q: Urn 1 contains 2 red and 8 white balls. Urn 2 contains 5 red and 4 white balls. A ball is drawn from…

A: Given that Urn 1 contains 2 red and 8 white balls. That is, the total number of balls in Urn 1 is…

Q: An urn contains 7 red balls and 3 yellow balls.  If we randomly select 3 balls from the urn without…

A: An urn contains 7 red balls and 3 yellow balls.  If we randomly select 3 balls from the urn without…

Q: Suppose there are 3 Americans, 9 Germans, and 6 Swiss in the room and we need to select a committee…

A: The following information has been provided: Number of Americans=3 Number of Germans=9 Number of…

Q: A box contains 3 red balls, 4 white balls, and 9 black balls. Two balls are drawn at random from the…

A: Given that there are 3 red balls, 4 white balls, and 9 black balls.  So total (3+4+9)=16 balls.   We…

Q: Urn X contains 3 red and 2 white balls, and bowl Y contains 4 red and 3 white balls. A ball is drawn…

A: We have to use multiplication theory of probability to find the required probability.

Q: In an urn there are 18 red and 15 white balls. We choose 8 balls without replacement. What is the…

A:

Q: here are 8 yellow and 4 red balls inside an urn. A. Two balls are selected one by one with…

A: (A) Obtain the probability that the first is yellow and the second is red if two balls are selected…

Q: In an urn there are 17 red and 11 white balls. We choose 9 balls without replacement. What is the…

A: Given in a urnNo.of red balls=17No.of white balls=11Total no.of balls=28