Given a standard deck of 52 cards, assume that one card is drawn from the deck, find the following probabilities. Show how you solved the problems first with un-simplified fractions then convert to decimals rounding to 3 significant digits. a) P(card has an even point value) b) P(card is a heart) c) P(card is an ace or a black card) d) P(card has an odd point value or the card is a diamond) e) P(card is an 8 or a club)

Q: Suppose a box contains 13 marbles, 4 are red, 4 are blue, and 5 are yellow. Find the requested…

A: To find the Probability: (a) If two marbles are selected with replacement, the probability that one…

Q: The probability that it came from subcontractor B, is

A: Here use Bayes rule

Q: Calculate the probabilities for the following statements as per the given scenario and draw the…

A: Decision tree are used to make decisions based on the probability or risk of event with certainty.…

Q: someone picks 4 cards randomly from a deck of 52 cards, what is the probability that all of the…

A: To find the probability that all of the cards will be either Clubs or will show even numbers from…

Q: A standard deck of 52 cards is divided into two equal sets (each has 26 cards) randomly. What is the…

A:

Q: Suppose that a player draws a card at random from a pack of cards, and wins $15 if an ace, king,…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: Find the conditional probability, in a single roll of two fair 6-sided dice, that the sum is greater…

A:

Q: what is the probability that the handle consist entirely of a single suit?

A: Consider: A deck of 52 cards are mixed well and 5 cards are handle. So, there will be 2598960…

Q: Jad is a mathematician with probability 0.5, a musician with probability 0.7, and is neither with…

A: Let being a mathematician be denoted by A and being musician be denoted by B. Then, the given…

Q: Suppose that a survey of 350 college students is taken. Each student is asked the type of college…

A: Total number of students =350 We have to select one student out of these 350students who is not in…

Q: If two fair dice are rolled, find the probabilities of the following resultsA double, given that the…

A: Let the outcomes of two dices be x and y.   To find the probability when: x=yx+y=8……1

Q: If a single fair die is rolled, find the probabilities of the follow- ing results A 4, given that…

A: When a single dice rolled: Possibilities outcomes are: 1, 2, 3, 4, 5, 6.

Q: If 7 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that:…

A: Sorry, we are not allowed to submit handwritten solutions.   a) There are 12 face cards in the deck…

Q: If 3 cards are dealt from a shuffled standard deck, find the probability that the first card dealt…

A: It is given that, 3 cards are dealt from a shuffled standard deck. Then, Number of red cards in deck…

Q: determine the probabilities in parts B through

A: Given Standard Normal Distribution that is Z=X-μσ~N(0,1) We have to find the Probabilities from…

Q: Suppose a single die is rolled. Find the probabilities. (Enter the probabilities as fractions.) (a)…

A: Total possible outcomes in rolling a single  die are {1,2,3,4,5,6} Odd number outcomes are {1,3,5}

Q: What Is the probablilty that the first portion, A, of the circult operates? What is the probabllity…

A: a) Here 0.95 and F1 (0.91) are in series Therefore, The resultant circuit would be such that it…

Q: A die has been “loaded” so that the probability of rolling any even number is 2/9 and the…

A:

Q: If a committee of 4 is to be chosen at random from a class of 10 students, what is the probability…

A: The number of ways a committee of 4 can be chosen from a class of 10 students =104 ways Note that…

Q: its number is found divisible by 3. What is the probability that its number is also divisible by 5?

A: Here use basic probability  and Bayes rule

Q: When 5 digits( between 0 and 9) are randomly selected with replacement for a lottery ticket, what is…

A:

Q: What is the probability that  a husband will not vote, given that his wife will not vote?

A:

Q: Suppose Ethernet physical addresses are chosen at random (using true random bits). (a) What is the…

A: Given:  Suppose Ethernet physical addresses are chosen at random.

Q: What is the probability of neither being red given that neither is white?

A:

Q: Suppose the probability that a US resident has traveled to Canada is 0.21, the probability that a US…

A: Note:  Since we only answer up to 3 sub-parts, we'll answer the first 3. Please resubmit the…

Q: Suppose a pair of dice are rolled. Consider the sum of the numbers on the top of the dice and find…

A: if a pair of dice are rolled then the possible out comesare 36.i.e n(s)=36no.of possible out comes…

Q: There are 8 black bals and 6 red balis in an urn, If4 bals are drawn without replacement, what is…

A: Here Ball is not replaced after drawing  so We have to Use hypergeometric Model for this Scene  Here…

Q: 2. Use the Venn diagram below to detemine the following probabilities.

A: here use basic probability rule and venn diagram

Q: A jar holds 20 cookies, 15 are chocolate-chip cookies, and 5 are brussel-spout-with-turnip-chips…

A: We have to find given probability.

Q: Suppose that your friend Kamala randomly chooses a number between 1 and 13 (including both 1 and 13)…

A: Solution : Sample space ( s ) = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 } A : No. is odd ∴ P (A)…

Q: Suppose a pair of dice are rolled. Consider the sum of the numbers on the top of the dice and find…

A: GivenIf we roll a pair of die then the possible outcomes are 36

Q: R. H. Bruskin Associates Market Research found that 40% of Americans do not think that having a…

A: We have given that,  X be the random variable from Binomial distribution with probability of success…

Q: Josh has a weighted coin with Pr[H]=0.65 If he flips this coin four times, what is the probability…

A:

Q: Suppose that a single card is selected from a standard​ 52-card deck. What is the probability that…

A: Solution: Suppose single card is selected from standard 52 card deck . We hae to calculate…

Q: Suppose that a box contains five red balls and ten blue balls. If seven balls are selected at random…

A:

Q: Suppose that 43% of people own dogs. If you pick two people at random, what is the probability that…

A:

Q: Suppose that 3 cards are drawn from a well-shuffled deck of 52 cards. What is the probability that…

A: We know that in a deck of 52 cards, there are 13 cards of clubsThe probability of choosing the 1st…

Q: A player would win a game if they draw exactly 2 Aces or exactly 2 Kings in a hand of 5 cards from a…

A: To give the required probabilitynCr = n!r!(n-r)!

Q: The players of Maluleke FC are from two main towns of Limpopo province, Tzaneen and  Polokwane. From…

A: Given,no.of players from Tzaneen=20no.of players from Polokwane=8Total no.of players=28

Q: Suppose that 5 cards are drawn from a well-shuffled deck of 52 cards. What is the probability that…

A: Given: We have standard 52 cards deck which contains 13 cards of each hearts, clubs, diamonds and…

Q: If two cards are drawn without replacement from an ordinary deck, find the probabilities of the…

A: Given- If two cards are drawn without replacement from an ordinary deck. To find- The  probabality…

Q: A die has been "loaded" so that the probability of rolling any even number is 2/15 and the…

A: Given that a number divisible by 3 is rolled. Only 3 and 6 are divisible by 3 in 1-6. So we have to…

Q: Given that a biased dice, where each of number 1jand number 3 appears half times as often as any…

A: Given problem Given that We need to find the probability that an even number appears when we roll…

Q: The probability that​ brown-eyed parents, both with the recessive gene for​ blue, will have a child…

A:

Q: If a committee of 3 is to be chosen at random from a class of 15 students, what is the probability…

A:

Q: The probability that​ brown-eyed parents, both with the recessive gene for​ blue, will have a child…

A:

Q: A jar holds 20 cookies, 15 are chocolate-chip cookies, and 5 are brussel-spout-with-turnip-chips…

A:

Q: A jar holds 20 cookies, 14 are chocolate-chip cookies, and 5 are brussel-spout-with-turnip-chips…

A: Given a jar contains 20 cookiesNo.of cookies = 20No. of chocolate-chip cookies = 14No.of brussel…

Q: In tic tac toe, there are three possible outcomes: x wins, o wins, and draw. In the 1998 tic tac toe…

A: Given that in tic tac toe, there are three possible outcomes: x wins, o wins, and draw. In the 1998…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.