Q2] A box contain 4 red, 5 white, 7 black balls. If five balls are drawn without replacement. By using combination find the probability that. i) all balls are white. ii) 2 red and 3 white. iii) at least 2 balls are black.

Q: We have 6 red ball and 4 blue balls. We are taking 3 balls to the park. a) find the probability…

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Q: There are 7 black and 5 green balls in a box. Three balls are drawn consecutively (each ball is…

A: Given There are 7 black and 5 green balls in a box. The total balls in a box is 7+5=12. To find the…

Q: What is the probability that the ball is red?

A: Let us define some events A : two white balls are drawn from box1. B : one white and one red ball…

Q: In a bag there are 6 white marbles and 16 black marbles. Four marbles are drawn without replacement.…

A: Hi! Thank you for the question! Since the question contains four subparts and we are allowed to…

Q: A bag contains 3 white, 4 black and 5 red balls. Three balls are dra random one after another…

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Q: What is the probability that the three balls drawn are the same color

A: we are given that there are 5 black and 7 green balls balls are drawn thrice and the drawn balls are…

Q: Assume that 2 cards are drawn from a standard 52-card deck. Assume the cards are drawn with…

A: 2 cards are drawn from a standard 52-card deck. Assume the cards are drawn with replacement We have…

Q: bag B contains 2 red and 5 green balls. Two balls will be drawn randomly from bag A and they will be…

A: Bag  A Red 3 Green 4   Bag  B Red 2 Green 5 Step -1: Consider all possible events…

Q: Suppose a jar contains 13 red marbles and 35 blue marbles. If you reach in the jar and pull out 2…

A: Given problem Given that   Suppose a jar contains 13 red marbles and 35 blue marbles. If you reach…

Q: A contains 4 white and 6 black balls, while Bin B – 5 white and 3 black balls. A ball is picked up…

A: Probability:   The ratio of the number of favorable outcomes to certain event and total number of…

Q: A card is drawn at random from a deck of cards, find the probability of getting a Face Card (or Ace…

A: A card is drawn from a classical deck of cards. Thus, total possible outcomes=52 Define the events…

Q: There are 3 boxes. 1st box contains 2 white and 1 black, 2nd – 4 white and 1 black, 3rd – 2 white…

A: E1: Box 1 P(E1) = 1/3 E2: Box 2 P(E2) = 1/3 E3: Box 3 P(E3) = 1/3 A: The ball is white P(A|E1) = 2/3…

Q: Suppose a jar contains 5 red marbles and 11 blue marbles. If you reach in the jar and pull out 2…

A: Given that  The jar contains  Red marbles = 5 Blue marbles = 11 Total marbles = 5 + 11 = 16   We…

Q: Find the probability that the transferred ball was black.

A: Let us define some events A : black ball was transferred. B : red ball was transferred. E : red ball…

Q: A bag contain 9 white and 1 black ball .3 of them are taken out a time from the bag .Find…

A: Given, A bag contains 9 white and 1 black ball . 3 of them are taken out a time from the bag . The…

Q: A bag contains 6 white and 4 black balls and a second one 4 white and 8 black balls. One of the bags…

A: GivenA 1st bag containsNo.of white balls = 6No.of black balls = 4a 2nd bag containsNo.of white balls…

Q: Three balls are selected randomly from a bag containing 4 red balls and 7 blue ones. Find the…

A: From the provided information, Red balls = 4 Blue balls = 7 Total balls = 11

Q: An urn contains three blue balls and five green balls. Another urn contains four blue balls and five…

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Q: Suppose a jar contains 6 red marbles and 37 blue marbles. If you reach in the jar and pull out 2…

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Q: A set of 8 cards contains 1 joker. A and B are 2 players and A chooses 5 cards at random, B taking…

A: From the provided information, Total cards = 8 Total number of ways in which A could select any of…

Q: Bag A contains 6 red and 7 black balls and Bag B contains 9 red and 6 black balls. One ball is…

A: Let us assume that E1,E2 and M are events such that, E1=Ball transferred from Bag A to Bag B is…

Q: There are 3 boxes. 1st box contains 2 white and 1 black, 2nd – 3 white and 1 black, 3rd – box 2…

A: The tree diagram corresponding to the distribution is shown below.

Q: An urn contains 4 red, 4 black, 6 blue and 2 green balls. If five balls are randomly selected from…

A: Given,no.of red balls=4no.of black balls=4no.of blue balls=6no.of green balls=2total no.of balls=16

Q: A bag contains 4 Yellow cards, 5 Green cards and 6 Blue cards. Select at random 3 cards at the same…

A: There are 4 yellow cards.The are 5 green cards.There are 6 blue cards.

Q: A box1 contains 3 white, 2 red balls. A box2 contains 2 white and 4 red balls. Two balls at random…

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Q: A bag contains 7 green and 5 black balls. Three balls are drawn one after the other. The probability…

A: 7-green  balls5-black balls 12- total balls three balls are drawn one after the other we have to…

Q: A physics class has 50 students. Of​ these,17 students are physics majors and 13 students are…

A: From given data, P(Physics majors)=17/50 P(Female)=13/50 P(Physics majors and Female)=4/50 P(Physics…

Q: A bag contains 5 white and 4 black balls. Two balls are drawn at random one after the other without…

A: Given information: There are 5 white balls and 4 black balls Total number of balls is 5+4=9 Two…