12. A bag contains 5 black and 7 white balls. A ball is drawn out of it and replaced in the båg. Then a ball is drawn again. What is the probability that (i) both the balls drawn were black, (ii) both were white, (iii) the first ball was white and the second black, (iv) the first ball was black and the second white.

Q: There are 3 Chevrolets and 4 Fords in the company motor pool. Two cars are selected at random and…

A: No. of Chevrolets in the company motorpool = 3No. of Fords in the company motorpool = 4Total no. of…

Q: 2. A bag of marbles contains 6 red marbles and 7 blue marbles. You take 4 marbles out of the bag,…

A: Given,no.of red marbles=6no.of blue marbles=7Total no.of marbles=13

Q: A bag contains 10 red balls, 5 blue balls, and 3 green balls. A ball is drawn at random, and then…

A:

Q: One jar holds 20 green marbles and 4 white marbles. A second jar holds 60 black marbles and 20 white…

A:

Q: 4. There are 6 black pens and 8 blue pens in a jar. If you take a pen without looking and then take…

A: Given: There are 6 black pens and 8 blue pens

Q: 7. A box has 5 Red and 6 Green and 8 Yellow balls. If a ball is drawn from the box, what is the…

A: When we deal with random experiments, there are many possible outcomes. We know all the possible…

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: What is the probability that no two boys are sitting together for a photograph if there are 5 girls…

A:

Q: What is the probability that a green ball is selected from the first box?

A: Here use tree diagram

Q: If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probability that…

A: Given that class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors. Total = 8+5+4+2 = 19

Q: 12. When Sue sees a bag of marbles, she grabs a handful at random. She has a bag that contains four…

A: There are total (4+3+2+1)=10 marbles in the bag.She can pick 5 marbles from 10 marbles in 10C5=252…

Q: 5.In a bag there a the probability tha

A: given that

Q: Two containers contain different balls. The first container contains 5 red balls, 4 blue balls, and…

A: Given: Container 1 n(red) = 5 n(blue) = 4 n(yellow) = 6 n(total) = 15 Container 2 n(red) = 6 n(blue)…

Q: 12. A bag contains 5 black and 7 white balls. A ball is drawn out of it and replaced in uie bag.…

A:

Q: A student owns 15 pencils, 9 are mechanical pencils and 6 are wooden pencils. They pull a pencil out…

A: Given that Total number of pencil = 15 Mechanical pencil = 9 Wooden pencil = 6 We have to calculate…

Q: A box contains 10 red and 12 white rose flowers. Flowers are picked up at random one by one without…

A: Conditional probability: For any two events E and F conditional probability is given by…

Q: A bag contains 4 purple balls and 8 green balls. If we draw 6 balls, replacing each before the next…

A: Given 4 purple balls  and 8 green balls. Hence, total 12 balls. We draw 6 balls with replacement (a)…

Q: A bag of marbles contains 6 red marbles and 10 blue marbles.Suppose I tell you that I took 3 marbles…

A: The objective of this question is to find the probability that all 3 marbles drawn from the bag…

Q: An institute wants to appoint 6 lecturers. There are 40 applicants of which 25 are men and 15 are…

A: Given   40 application=25(men)+15(women)  Farmula used  nCr=n!/[r!(n-r)!]

Q: Suppose there are six blue pens and four red pens in a box. Three pens are drawn from the box…

A:

Q: Suppose a jar contains 20 red marbles and 23 blue marbles. You reach in the jar and pull out two…

A:

Q: Two cards are drawn one after the other from a pack of 52 cards. What is the probability that they…

A: GivenTotal no.of cards in a deck = 52No.of Ace cards in a deck = 4No.of Queen cards in deck = 4

Q: A box contains ten white and three black balls while another box contains three white and five black…

A:

Q: 2. A hallway has 8 offices on one side and 5 offices on the other side. A worker randomly starts in…

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items…

Q: b) A box contains 8 red, 5 white and 3 blue marbles. A sample of nine marbles is drawn with…

A:

Q: A box contains 4red and 2 blue marbles. Find the probability that if two marbles are drawn at random…

A: Given data A box contains 4 red and 2 blue marbles.

Q: There are 3 blue socks, 3 red socks, 3 purple socks, and 3 green socks in a drawer. You take six…

A: The number of blue socks, The number of red socks, The number of purple socks, The number of green…

Q: if you randomly choose one bean, do NOT replace it, and randomly choose another, what is the…

A: Given: 20 jelly beans in a jar: 2 yellow, 3 blue, 4 green, 5 red, 6 orange  Without Replacement we…

Q: 2. There are three boxes. The first box contains 10 long and 5 short bolts. The second box contains…

A:

Q: In a class of 30 students, 17 are boys and the rest are girls. On a monthly math’s test, four boys…

A:

Q: A bag contains 3 white balls, 4 black balls, and 5 red balls. If 3 balls are drawn at random,…

A:

Q: 19. Two symmetric dice have had two of their sides painted red, two painted black, one painted…

A:

Q: A class has 14 girls and 12 boys and a committee of 5 is chosen. What is the probability that this…

A: We have given that Number of girls = 14 Number of boys = 12 Total students = 12+14 = 26 We have to…