Consider two urns. The first one contains 5 red balls, 3 green balls, and 2 yellow balls. The second one contains 2 red balls and 5 green balls. Yo pick a ball at random from the first urn and place it into the second urn. Then you pick a ball at random from the second urn. What is the probability that this ball is red?

Q: You roll a standard die 3 times. What is the probability you roll a 6 on the first roll, an even…

A: If standard die is rolled than the possible outcomes ares=(1,2,3,4,5,6)No.of even numbers=3…

Q: A bag contains 4 red balls and 6 black balls. 2 balls are chosen at random one by one without…

A: 4 red  6 black _____________ 10 total balls    select 2 balls at random without replacement P(both…

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: A bag contains 4 red marbles and 7 blue marbles. You randomly pick a marble, return it to the bag,…

A: The number of red marbles is 4 and the number of blue marbles is 7.

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: You get a box of twelve chocolates, of three kinds: six Plain, four Coconut, and two Cashew. Draw…

A: Distribution of chocolates is given as, Plain Chocolates=6Coconut Chocolates=4Cashew…

Q: Suppose a jar contains 12 red marbles and 30 blue marbles. If you reach in the jar and pull out 2…

A: Solution: From the given information, a jar contains 12 red marbles and 30 blue marbles. Total…

Q: A bag contains 2 red , 3 blue and 5 green marbles. Mike picks one marble from the bag , then picks a…

A: Given that the bag contains 2 red, 3 blue and 5 green marbles. Total number of marbles is 2+3+5=10.…

Q: You draw one card from a 52 card deck. Then the card is replaced in the deck, the deck is shuffled,…

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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: n a fish tank, there are 27 goldfish, 4 angelfish, and 16 guppies. If a fish is selected at random,…

A: A is an event of n equally likely outcomes of an experiment. If n(A) is the number of events…

Q: You have a bag with 10 tiles in it. The tiles are identical except that 3 are red and 7 are black.…

A: The probability of an event is always fall between 0 and 1 and it is defined as ratio of favourable…

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: 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: pitcher contains 3 red and 2 black marbles. You select two marbles without replacement. What is the…

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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…

A:

Q: A couple has four children . Find the probability that there are exactly two boys and two girls

A: Probability of a boy (p) = 1/2 = 0.5  Probability of a girl (p) = 1/2 = 0.5  Number of children (n)…

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: Assume that you randomly pick one of the bowls: X, Y, or Z. You then randomly draw one ball out of…

A: Let us denote R=Red, W=white, B=blue   There are 3 bowls So, P(X)=13, P(Y)=13, P(Z)=13P(B or…

Q: An jar contains 3 red balls, 2 blue balls, and 5 white balls. A ball is selected and its color…

A: Given that  Total balls=3+2+5=10 Red balls=3 , Blue balls=2 , White balls=5

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 box contains 5 red, 3 white and 6 blue balls. If 3 balls are drawn at random without replacement,…

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Q: An urn contains eight white balls and two red balls. A second urn contains two white balls and a red…

A: Here Take Probability of first Urn=P(F) Probability of second Urn=P(S) Probability of Red=P(R)…

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

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Q: There are 2 urns. The first one has 4 red balls and 6 black balls. The second has 5 red balls and 4…

A:

Q: A science class has 3 girls and 9 boys in seventh grade and 5 girls and 3 boys in eighth grade. The…

A: Given In seventh grade=3 girls,9 boys In eighth grade=5 girls,3 boys

Q: A bag contains 3 white balls and 5 red balls. If two balls are drawn at random, find the probability…

A: 3 white and 5 red balls

Q: What is the probability that all 3 cards are Queens?

A: Number of Queen cards = 4 Total number of cards = 52 Define some events A: first card is Queen B:…

Q: Find the probability that the first coin is a nickle given that the second coin is a quarter.

A: It is given that No. of quarters = 2No. of dimes = 1No. of nickels = 3Total coins = 6

Q: There are 100 balls in a container. 30 of them are red, 50 blue, and 20 green.  We randomly select a…

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Q: You have a bag of 1 gold coin, 2 red coins and 3 blue coins and you can only select two at random to…

A: Given that the bag contains 1 gold coin, 2 red coins and 3 blue coins. And two coins are selected at…