1:A deck of playing cards is made up of 8 cards: four Jacks and four Queens. Two cards are drawn at random: (1) What is the probability that both cards are Jacks given that at least one Jack? (1) what is the probability that both cards are Jacks given that one of them is Jack of Hearts?

Q: Three players, A, B, and C, take turns to roll a die; they do this in the order ABCABCA.... (a) Show…

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Q: A hat contains 54 Green slips of paper and 18 Grey slips of paper (and nothing else). Two slips are…

A: Number of green slips = 54 Number of grey slips = 18 Total number of slips = 54+18 = 72   The…

Q: by (a) fewer than 4 hurricanes; (b) anywhere from 6 to 8 hurricanes.

A: Given : mean , μ= λ = 6

Q: Example 4: 1 black, 1 red, 2 white balls and third box contains 5 black, 3 red, 4 white balls. Of…

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Q: Of 100 students, 26 can speak French F, 33 can speak German G, and 16 can speak both French and…

A: Given that The total number of students is .The number of students who speak French is The number of…

Q: Assume that there are 15 board members: 10 females, and 5 males including Joe. There are 2 tasks to…

A: Given information: According to the given information, the total number of board members is n(S) =…

Q: The probability of drawing three cards from a deck of 52 cards with replacement, such that the first…

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Q: For any two events A and B and P(B) + 1, find weather the following statement is true or not: 1- Р…

A: Introduction :-  We have to check whether given statement is true or false. Formulae :-

Q: Assume that there are 12 frozen dinners: 6 pasta, 4 chicken, and 2 seafood dinners. The student…

A: Obtain the probability that at least 2 of the dinners selected are pasta dinners. The probability…

Q: Four cards are drawn without replacement from a pack of 52 cards. Determ the probability that (a)…

A: Probability=favourable outcomesTotal number of outcomes a) There are 4 A,K,Q and J's in a deck of…

Q: There are three groups. The first group contains 37 boys and 23 girls. The second group contains 47…

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Q: Eight pawns are placed randomly on a chessboard, no more than one to a square. What is the…

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Q: [3] Pick a card, any card. Suppose you pick the 5 of Hearts. If the 5 of Hearts is not returned to…

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Q: A deck consists of playing cards that can have one of 16 suits and one of 5 ranks. A hand is a set…

A: Introduction: In case of a four of a kind hand in a 5-card hand, 16 cards are of the same rank,…

Q: Suppose that you have 10 coins: 3 dimes, 3 quarters, and 4 nickels. Two coins are selected at…

A: Two coins are selected from the 10 coins at random.  P( choose exactly 30 cents) = ? A dime is worth…

Q: Assume for this problem that the company has 5 Hyundais and 7 Jeeps, and two cars are selected…

A: Given data are: Number of Hyundai cars = 5 Number of Jeeps = 7 Probability of both cars being…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.