103. A coin is tossed. If it turns up heads, two balls will be drawn from urn A, otherwise two balls will be drawn from urn B. Urn A contains 3 black and 5 white balls. Urn B contains 7 black and 1 white ball. In both cases selections are to be made with replacements. What is the probability that Urn A is used given that both the balls drawn are blačk ?

Q: There are three urns that each contain 10 balls. The first contains 2 white balls and 8 red balls,…

A: Given Information: There are three urns that each contain 10 balls. The first urn contains 2 white…

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Q: A box holds 3 red and 5 blue marbles. If 2 marbles are to be drawn at random without replacement and…

A: Given, Red Marbles = 3 Blue Marbles = 5 Total Marbles = 8 Let X denotes the number of red marbles

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Q: Suppose that a white ball is selected. What is the probability that the coin landed heads?

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Q: An urn contains Red and Blue balls. 91 balls are red (R) and 86 balls are blue (B). Draw two balls,…

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Q: An urn contains Red and Blue balls. 6 balls are red (R) and 13 balls are blue (B). Draw two balls,…

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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

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A: Total number of balls in an urn,

Q: 2. If seven coins are tossed simultaneously, find the probability that they will just have three…

A: Given that  Number of coins tossed (n) = 7 In a fair coin Probability of head = Probability of tails…

Q: A bag contains 5 red and 7 black balls. A ball is drawn at random from the bag, the colour is noted…

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Q: An urn contains three red, three black, and three green balls. If two balls are selected at random…

A: To work out the probability of the required event

Q: In an experiment where 2 balls are drawn successively at random without replacement from a box…

A:

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

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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…

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Q: An urn contains 15 balls marked LOSE and 3 balls marked WIN. Suppose that Chuck and Delilia take…

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Q: Q4. There are two urns. The first urn contains 3 white and 7 black balls; the second contains 6…

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Q: In an Urn are 5 blue, 3 red and 2 yellow marbles. If you draw 3 marbles, what is the probability…

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Q: Suppose you have three bowls, X, Y , and Z with some number of red and blue balls. Bowl X has 2 red…

A:

Q: Three six-sided dice are in an urn: one fair die and two trick dice. One of the trick dice always…

A:

Q: A card is drawn from a pack of 52 cards. What is the probability of getting a queen card?

A: Since you have posted multiple questions, we will provide the solution only to the first question as…