A box contains 3 blue and 2 red marbles while another box contains 2 blue and 5 red marbles. A marble drawn at random from one of the boxes turns out to be blue. What is the probability that it came from the first box?

Q: A committee of 5 persons is to be formed from 6 men and 4 women. What is the probability that the…

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Q: There are 5 boys and 8 girls in a room. What is the probability that group of five have more boys…

A: There are 5 boys and 8 girls in a room.  TOTAL 13 people in room here use hypergeometric…

Q: A pet store has 8 ​puppies, including 2 ​poodles, 4 ​terriers, and 2 retrievers. If Rebecka and​…

A: There are 8 puppies, including 2 poodles, 4 terriers, and 2 retrievers. Since Rebecka selects a…

Q: A box of 15 chocolates has 6 that are caramel, 5 that contain nuts, and 4 that are nougat. If you…

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Q: bag contains 4 blue balls and 8 red balls. If two are drawn from the bag at random, what is the…

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

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

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Q: A bag contains 5 red marbles, 6 blue marbles and 3 green marbles. If three marbles are drawn out of…

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Q: Suppose a jar contains 17 red marbles and 14 blue marbles. If you reach in the jar and pull out 2…

A: Here, a jar contains 17 red marbles and 14 blue marbles. Select 2 marbles at random.

Q: A child mixes 10 good and three dead batteries. To find the dead batteries, his father tests them…

A: Given : Number of good batteries = 10 Number of dead batteries = 3 Total number of batteries = 13

Q: There are 15 boys and 10 girls in a class. If three students are selected at random, what is the…

A: There are 15 boys and 10 girls in a class.

Q: A group of 4 men and 4 women is randomly divided into 2 different groups of size 4 each. What is the…

A: Given, Total  number of people = 4 men  + 4  women = 8 These 8 people are divided into 2 different…

Q: A pet store has 8 puppies, including 3 poodles, 3 terriers, and 2 retrievers. If Rebecla and Aaron…

A: Given that the pet store has 8 puppies, including 3 poodles, 3 terriers, and 2 retrievers.…

Q: A bag contains 4 red marbles, 8 blue marbles and 2 green marbles. If two marbles are drawn out of…

A: Given probability is evaluated.

Q: A pet store has 11 ​puppies, including 3 ​poodles, 3 ​terriers, and 5 retrievers. If Rebecka…

A: Given Information :  A pet store has 11 ​puppies, including 3 poodles 3 terriers, and 5 retrievers.…

Q: A bag contains 5 red and 10 blue marbles. marbles are drawn at random from the bag. Then the…

A: Explanation of the solution is given below...

Q: An opaque bag contains 5 green marbles, 3 blue marbles, and 2 red marbles. If two consecutive…

A: Given: An opaque bag contains 5 green marbles, 3 blue marbles, and 2 red marbles. To find: The…

Q: class consists of 33 women and 21 men. If a student is randomly selected, What is the probability…

A: Given data, class consists of 33 women 21 men Total strength in class=21+33=54 P(Student is woman)=?…

Q: Two students are randomly selected from a class of 12 boys and 9 girls. What is the probability that…

A: Number of boys = 12  Number of girls = 9  Total students = 21

Q: A jar contains 3 red. 5 green, 2 blue and 6 yellow marbles. A marble is chosen at random from the…

A: Given Data: n(red)=3 n(green)=5 n(blue)=2 n(yellow)=6   Let S be the sample set n(S)=3+5+2+6=16

Q: There are 4 jacks in a standard deck of 52 playing cards. If Patricia selects a card at random, what…

A: There are 4 jacks in a standard deck of 52 cards.

Q: Suppose we have a box of 5 blocks: 2 RED, 2 BLUE, and one YELLOW. If we draw 4 blocks with…

A: It is given that a box of 5 blocks: 2 RED, 2 BLUE, and one YELLOW. 4 blocks are drawn with…

Q: A bag contains 8 red marbles, 3 blue marbles and 2 green marbles. If two marbles are drawn out of…

A: Answer - A bag contains 8 red marbles, 3 blue marbles and 2 green marbles.                 Total = 8…

Q: A bag contains 20 marbles, of which 3 are blue and 7 are green. One marble is drawn from the bag.…

A: Given Total number of marble=20 Number of blue marble=3

Q: A bag contains 7 red marbles, 6 blue marbles and 4 green marbles. If three marbles are drawn out of…

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Q: A bag contains fibe green marbles,3 red marbles,and 4 white balls.What is the probability that a red…

A: Given, A bag contains 5 green balls,3 red balls, and 4 white balls To find the probability that a…

Q: There are 3 red shirts, 4 blue shirts, 1 black shirt, and 2 grey shirts hanging in a closet. What is…

A: Given that there are 3 red shirts, 4 blue shirts, 1 black shirt, and 2 grey shirts. So total…

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…

Q: A bag has 12 blue marbles and 24 red marbles. If you draw 3 marbles with replacement, what is the…

A: Let p be the probability of blue marble let n be the number of marble which one is drawn X be the…

Q: A bag contains 7 red, 12 white and 4 green. balls. What is the probability that: (a) 3 balls drawn…

A: We have given that a bag contain 7 red, 12 white and 4 green balls. Total number of balls = 23…

Q: Mona has a bag containing 4 red marbles, 12 greens marbles, and 8 black marbles. Without looking,…

A: Given data: The numbers of red marbles are r=4. The numbers of green marbles are g=12. The numbers…

Q: One bag contains 4 white chickens and 3 red chickens, and a second bag contains 3 white chickens and…

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Q: Two students are chosen at random from a class of 30. What is the probability that both you and your…

A: We will find the solution in the following step.

Q: A bag contains 6 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: One card is drawn of random from a pack of 52 cards. What is the probability that the card drawn is…

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Q: A box has 20 green hats and 15 blue hats. If you pick 3 hats without replacement, what is the…

A: Given,no.of green hats=20no.of blue hats=15total no.of hats=35

Q: A large cube is painted red from all its sides, and then cut into 27 smaller cubes (like a rubiks…

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Q: From a bag containing 5 blue balls, 3 yellow balls, and 2 green balls, 1 ball is drawn. Find the…

A: It is given that Number of blue balls = 5 Number of yellow balls = 3 Number of green balls = 2 Total…

Q: There are two jars with yellow and green marbles. In jar A there are 5 yellow and 8 green while in…

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Q: A couple goes on the bus together and spots 6 empty seats in a row.  As they go towards the seats,…

A: Total number of ways of seating order = 6!= 720

Q: A bag contains 3 red, 6 white and 7 black balls. What is the probability that two balls drawn are…

A: GivenA bag contains No.of red balls = 3No.of white balls =6No.of black balls = 7Total no.of balls…

Q: Ana has a team composed of ten juniors and twelve sophomores. What is the probability that a…

A: Given,no.of juniors =10no.of sophomores=12Total no.of team members=22

Q: if two students are randomly chosen from a group of 3 boys and 3 girls, what is the probability that…

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Q: In a box, there are 9 black ball pens and 3 red ball pens. If two ball pens will be taken randomly,…

A: Total number of ball pens in a box=12 Out of which 9 are black ball pens and 3 are red ball pens.…

Q: A bag contains 4 blue marbles and 5 red marbles. If two marbles are drawn one after the other…

A: The bag contains 4 blue marbles and 5 red marbles.

Q: If 3 books are picked at random from a shelf containing 5 novels, 3 books of poems, and a…

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Q: A jar contains 6 red marbles, 7 green marbles, and 7 blue marbles. What is the probability that you…

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Q: One bag contains 4 white balls and 3 black balls, and a second bag contains 3 white balls and 5…

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Q: A bag contains 6 red and 10 black marbles. If you pick a marble from the bag, what is the…

A: Given data, Red marbles=6 Black marble=10 Total marbles=16   P(Marble is not black)=?

Q: A student has a total of 10 books and 3 of her books are science fiction. If she arranges them on a…

A: Given, A student has a total of 10 books and 3 of her books are science fiction she arranges them on…