Five cards are drawn without replacement from a deck of cards containing four spades and five clubs. The probability that the number of spades is greater than the number of clubs is

Q: A single card is drawn from a well-shuffled deck of 52 cards. Find the probability that it is a red…

A: There are 26 red cards and 4 nines in a deck of 52 cards. Two cards are 9 of red. So, n(red)=26…

Q: An insurance company has determined that each week an average of five claims are filed in their…

A: (a) Obtain the probability that during the next week exactly seven claims will be filed. The…

Q: A football team has a probability of .75 of winning when playing any of the other four teams in its…

A: Let A, B, C and D be the events of winning with first, second, third and fourth teams respectively.…

Q: then the probability that a randomly selected student who has passed the course is a science student…

A: Let us define some events A : student is of science. B : student is of business. C : student is of…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 8 type A balls, 5 type B…

A: Number of type A balls = 8 Number of type B balls = 5 Number of type C balls = 3 Total number of…

Q: You are dealt two cards successively (without replacement) from a shuffled deck of 52 playing cards.…

A: Introduction:A standard deck of 52 cards has 26 black cards (13 spades and 13 clubs), and 26 red…

Q: In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1…

A: The player can pick 5 numbers from 42 numbers in 42C5 ways. (white balls) And 1 number from 32…

Q: The probability that a cask contains more than 261 liters of whiskey is If there are 9 casks of…

A: Let X denote the volum of whiskey in a cask. Given that X follows Uniform(a = 258.5, b = 261.5).…

Q: A card is drawn from a well-shuffled deck of 52 cards. Find the probability of drawing the…

A: Given, The card is drawn from a well shuffled deck of 52 cards. Let E be the event that draw a black…

Q: At a certain college, there were 600 science majors, 200 engineering majors, and 400 business…

A:

Q: You draw one card at random from a standard deck of 52 playing cards. What is the probability that…

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Q: What is the probability that the 2 and 3 of clubs are next to each other in a shuffled deck? Hint:…

A: Introduction: Probability can be defined as a mathematical tool that helps the experimenter provide…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 5 type A balls, 8 type B…

A: Here  the golf bag contains 5 type A balls, 8 type B balls, and 3 type C balls, Then, total balls =…

Q: Two cards are drawn from a deck of 52 cards. Calculate the probability that the draw will include an…

A: Given,no.of ace cards=4no.of ten number cards =4total no.of cards =52

Q: A single card is selected from a deck of playing cards what is the probability that the card is not…

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Q: A chalk box contains 5 pink chalks and 4 white chalks. If three items are picked at random, assuming…

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Q: A person is randomly selected. What is the probability that the person is: a) Male? b) Male and a…

A: As per our guidelines, we are allowed to answer first three sub-parts only. Thanks Given Data :…

Q: A  class consists of 18 women and 15 men. If a student is randomly selected what is the probability…

A: Given information: Number of women in class is, w = 18 Number of men in class is, m = 15 A student…

Q: A 3-card hand is drawn from a standard deck of 52 cards. Find the probability that the hand contains…

A: Standard deck : There are 52 cards in standard deck. 1) It contain 13 rank ( Ace ,…

Q: A baby born in 2011 is randomly selected. What is the probability that the baby was born in March?

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Q: In a family of 5 children excluding multiple births what is the probability that the children are…

A: For every child, there are 2 possibilities: Boy or girl Given that there are total 5 children.    So…

Q: In a class of 10 students there are 4 boys and 6 girls. If a committee of 3 students is selected…

A:

Q: A street magician showed a trick where he picked one card from a standard deck. Determine what the…

A: Introduction: The probability of an event in an experiment is the number outcomes in the experiment…

Q: Two cards are drawn from a deck of 52 cards. Calculate the probability that the draw includes an ace…

A: Given that two cards are drawn from a deck of 52 cards. The way of selecting 2 cards from 52 cards…

Q: A street magician showed a trick where he picked one card from a standard deck. Determine what the…

A: In a standard deck of card, there are total 52 cards.  Among those 52 cards, 4 cards are kings.

Q: 2. Find the probability that it is actually one.

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Q: What  is the probability that a hand of 5 cards chosen at random from a standard deck of 52 cards…

A: The 5 cards chosen need to have an odd number of cards from each of the four suits. There are 4…

Q: A bag contains 7 white and 9 black balls. The balls are drawn in succession at random, what is the…

A:

Q: A street magician showed a magic trick where he picked one card from a standard deck. Determine what…

A: Total number of cards in the standard deck = 52 Number of black color Ace card = 2 (one spade, one…

Q: Find the probability that either a 6 or 7 will be obtained in one toss of a pair of dice.

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Q: a single card is selected from a standard deck of playing cards. what is the probability that the…

A: In a standard deck of playing cards there are total 52 cards and 4 suits, such as hears, diamonds,…

Q: A coin is tossed six times. What is the probability that the outcome is six heads, given that…

A: When a coin is tossed probability of getting heads is 1/2 =0.5 Here coin is tossed 6 times .n=6…

Q: A golf ball is selected at random from a golf bag. If the golf bag contains 8 type A​ balls, 5…

A: No.of type A balls =  8 No.of type B balls = 5 No.of type C balls = 6 Total number of balls =19…

Q: A box contains 7 red, 3 green, and 2 yellow balls. If one ball is drawn from the box, then what is…

A: Given,no.of red balls=7no.of green balls=3no.of yellow balls=2Total no.of balls=12

Q: A family has 2 children. Given that one of the children is a boy, what is the probability that the…

A: The probability is a branch of mathematics or statistics which basically deals with the chances of…

Q: Of one card is drawn from a standard deck of cards, what is the probability that the card will be a…

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Q: In a family with three children what is the probability that the oldest two children are girls…

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Q: Two cards are drawn from a standard deck of cards. Find the probability  that the first card is…

A: Answer - Two cards are drawn from a standard deck of cards.                Find the probability that…

Q: A standard deck of 52 playing cards is well shuffled. The probability that the first four cards…

A: The number cards in a standard deck of cards is 52.

Q: A bag contains 10 green balls and 6 orange balls. If a ball is picked at random, what is the…

A: Given: Number of green balls is, ng=10. Number of orange balls is, no=6. The objective is to find…

Q: What is the probability that at least one of the next four cars that enter the lot is a sedan?

A: Ramon is a parking lot attendant. He estimates that 30% of the cars in the lot are sedans, 10% are…

Q: On a single draw from a deck of 52 playing cards, what is the probability of getting: Multiple…

A: (a)   Obtain the probability of drawing spade in a standard deck of 52 cards.   The probability of…

Q: A card is drawn from a well-shuffled deck of 52 cards. Find the probability tha the card is a black…

A: Given,no.of black cards=26no.of 8 numbered cards=4no.of black and 8 numbered cards=2Total no.of…

Q: A coin is tossed eight times. What is the probability that the outcome will be eight heads, given…

A:

Q: What is the probability that he will be dealt a full house? (R

A: Here use basic probability  Here given information about 3 cards  So now for remaining 2 cards of…

Q: A man drops 10 black stones and 30 white stones into a bag. what is the probability that a stone…

A: Let W be the drawn stone is white. There are totally 40 stones in a bag out of which 10 are black…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.