In the card game blackjack, each card in the deck has a numerical value. Number cards (2 through 10) have the value printed on the card. Face cards (jacks, queens, and kings) have the value 10, and aces have the value 11. For reference, assume a standard deck includes 4 suits (clubs, spades, diamonds, and hearts) and the cards 2 - 10, J, Q, K, and A in each suit for a total of 13 cards per suit. Thus, there are 52 cards in the standard deck. Two cards are drawn (with out replacement) from a well-shuffled deck. What is the probability that the sum of the values on the cards is 21? NOTE: You can answer as a fraction, a decimal to 3 decimal places, or a percent to 1 decimal place.

Q: If n(A ∪ B) = 60, n(A ∩ B) = 40, and n(A) = n(B),find n(A).

A: Givenn(A∪B)=60n(A∩B)=40n(A)=n(B)To find n(A)

Q: If P(A) = 0.7, P(B) = 0.4, and P(A or B) = 0.9, find P(A and B).

A: According to the provided information,  P(A) = 0.7  P(B) = 0.4 P(A or B) = 0.9

Q: If P(A or B) = 0.7 and P(A) = 0.44, and P(A and B) = 0.22, determine P(B)

A:

Q: If P(A) = 0.50, P(B) = 0.40, and P(A ∪ B) = 0.88, then P(B | A) =

A: Given P(A) =0.50 P(B)=0.40 P(AUB) =0.88 P(AUB)=P(a) +P(B)-P(ANB) 0.88 =0.50+0.40 –P(ANB) P(ANB)…

Q: How many possible 5-card hands from a standard 52-card deck would consist of the following cards?…

A: a) There are 13 clubs and (52-13)=39 non-clubs. We have to pick 3 cards from 13 clubs and 2 cards…

Q: From a deck of poker, which contains 52 cards, hands of 10 cards are drawn. How many hands contain:…

A: Probability: In a random experiment, probability indicates how likely an event is going to occur.…

Q: Find the number of elements in the set {o E S4lo (3) = 3}.

A:

Q: From an ordinary 52 deck of playing cards, 2 cards are drawn without replacement. Find (a) P(Two…

A: Given that  From ordinary 52 deck of playing cards. 2 cards are drawn without replacement.   We know…

Q: 10.3.49 2 Assigned Media Questio A standard 52-card deck contains four jacks, twelve face cards,…

A:

Q: If a, b, c, d, e are in A.P., then the value of    a–4b+6c–4d+e  is

A:

Q: You are given:

A: Formulas: pxt+qx=1t px=t+upx*px+tut qt|ux=qt+ux-qtx   Consider, the given equations,…

Q: (a) Find the value of P(?, 4) and P(?, 6) using permutation formula, where ? is 31

A: To Find the value of (?, 4) and (?, 6) using permutation formula, where ? is 31.

Q: Find, if​ possible, the number of elements in sets​ A, B, and C using the given information on the…

A: Given: n(A∩B)=5​,    n(A∩B∩C)=3​,    n(B∩C)=9​,    n(B−A)=8​,    n(B∪C)=19​,    n(A∩C)=6​,…

Q: In tossing a coin 3 times, let X be the number of heads. Find the values of X. O {0,1,2, 3} O…

A:

Q: Given P(A) = 0.40, P(B) = 0.35, and P(A and B) = 0.12, what is P(A or B)?

A: Formula : P(A or B) = P(A) + P(B) - P(A n B)

Q: If S = {a, b, c} with P(a) = 8P(b) = 5P(c), find P(a).

A: Total probability:If a sample space contains mutually exclusive and exhaustive events, then the sum…

Q: (a) Find the value of P(?, 4) and P(?, 6) using permutation formula, where ? is 39

A: The permutation formula is defined as follows:

Q: Consider the following information where A-NVisa Card, B-(MasterCard, P)-9,P)-5, and PAn B)-45…

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Q: Write a single statement that displays a number at random based on the specified set: (a) 2 4 6 8 10…

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Q: If C(n, 5) = 252, then n = 8. Option 1 9. O 10 O O O

A: Solution

Q: Ramona is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is…

A: Topic- permutations and combinations

Q: (a) ..you replace each card and reshuffle after drawing? (b) ...you do not replace each card after…

A: As per given by the question, there are three card picking from a fair deck. i.e. jacks, Queen, and…

Q: Given P(A)=.4, P(B)=.5, and P(A and B)=.8, what is P(A or B) ?

A: Given data: Given P(A)=.4, P(B)=.5, and P(A and B)=.8 To find: what is P(A or B)  = ?

Q: Given the set S = {a, b, c, d}, answer the following. (a) How many one-element subsets does S have?…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: If n(A) = 6, n(A ∪ B) = 8, and n(B) = 5,  then what is  n(A ∩ B)?

A: Let A and B be any two events , the union of two events is defined as,

Q: Suppose a soccer team has a record of 10 wins, 7 losses, and 3 ties. In how many ways can this…

A:

Q: When drawing a card from a deck, the P(king and hearts) is: O 1/12 1/52 O 1/13 O 1/4

A:

Q: If P(A) = .6, P(B) = .3, and P(A ∩ B) = .2, then P(B | A)

A: It is given that P(A)=0.6, P(B)=0.3 and P(AꓵB)=0.2.

Q: Given P(A)= 0.30, P(B)= 0.60, and P(A and B) = 0.35, calculate P(A or B)

A: Given that,  P(A)= 0.30, P(B)= 0.60, and P(A and B) = 0.35 We know that,  PA or B=PA+PB-PA and B

Q: At a community college, a survey was taken to determine where students study on campus. Of the 270…

A:

Q: Let A = { a, b }, B = {a, b, c}. Is A ⊂ B ? What is A ∪ B ?

A: Given set is

Q: Consider a deck of 52 cards.  a. How many different 5-card hands can have 5 cards of the same suit?…

A:

Q: Is a degrees of freedom? -2.447 2.571 1.96 -2.015 1.943 will a 32

A:

Q: Find the value of P(?, 4) and P(?, 6) using permutation formula, where ? 13

A: Introduction: A permutation is the arrangement of a certain number of objects from a given set of…

Q: If n(A) = 40, n(B) = 24, and n(A ∩ B) = 1, find n(A ∪ B).

A:

Q: If P(n, 4) = 17 160, then n = 9. 13 14 O O O C

A: Given Pn,4=17160 we know that Pn,r=n!n-r!

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Q: How many combinations can be made from ♣, ♠, ♦, and ♥ if taken a) four at a time? b) three at a…

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

Q: If A={a,b,c} then how many elements does P(A) have?

A:

Q: If n(A) = 44, n(B) = 17, and n(A ∩ B) = 5, find n(A ∪ B).

A: We given that  n(A) = 44, n(B) = 17, and  (A ∩ B) = 5

Q: Find, if​ possible, the number of elements in sets​ A, B, and C using the given information. If…

A:

Q: If n(A) = 64, n(B) = 18, and n(AN B) = 7, find n(A U B).

A:

Q: If S = {a, b, c} with P(a) = 6P(b) = 7P(c), find P(a).

A: To work out the required probability , using the basic equations

Q: ståndard deck that is a spade and a red P/13 5/27 48

A: In a well shuffle standard deck, there are 26- Red cards26- Black cards Out of these,  In Black…

Q: Given P(A) = 0.22, P(B) = 0.30, and P(A and B) = 0.34, what is P(A or B)?

A: P(A or B)= P(A) + P(B) - P(A and B) = 0.22 + 0.30 - 0.34 = 0.18 answer

Q: If P(A) = 0.3, P(B) = 0.6, and P(A or B) = 0.7, find P(A and B). P(A and B) =

A:

Q: Let n(A) = 4, n(A ∩ B) = 4, n(A ∪ B) = 10. How many elements are there in B?

A: Given,  n(A) = 4, n(A ∩ B) = 4, n(A ∪ B) = 10

Q: Find the value of P(?, 4) and P(?, 6) using permutation formula, where ? 18

A: The permutation formula is defined as follows.    The formula for n! is defined as follows.

Q: n(A) = 108, n(A ∪ B) = 160, and n(A ∩ B) = 47, find n(B)

A: