Find the probability of the given event. 57) A bag contains 4 nickels, 3 dimes, and 2 quarters. If you draw 3 coins at random from the bag, without replacement, what is the probability that you will get a nickel, a quarter, and a nickel, in that order? 57) 7

Q: 11 identical red socks and 8 identical black socks. Suppose that you choose 2 socks at random in the…

A: Drawer contains  Red socks  = 11 Black socks = 8 Total socks in drawer (n) = 11+8 = 19 Here we are…

Q: If a fair coin is tossed three times: What is the probability of getting 3 Heads? b) What is the…

A: Let p be the probability of getting head. Since coin is fair then p = 0.5 Let X denote the number of…

Q: A. What is the probability of having 4 heads, if you toss 4 coins? & B. What is the probability…

A: Sample space for toss 4 coins is given by  There are 24=1624=16 possible outcomes.  S= {  HHHH ,…

Q: Find the probability that in tossing a fair coin five times, there will appear, 3 heads (ii) 3 tails…

A:

Q: . 3 A bouquet of 6 flowers is made up by randomly choosing between roses and carnations. What is the…

A:

Q: 8. At a convention there are 7 mathematics instructors, 5 computer science instructors, 3 statistics…

A:

Q: Suppose we flip an unfair (or weighted) coin 7 times independently, where P(Heads) = 0.6 and…

A: The coin is tossed for 7 times. X : number of heads occurs  So, X ~ Binomial(n = 7, p=0.6) PMF of X…

Q: 7. In drawing 5 cards from a standard deck of cards without replacement, what is the probability of:…

A:

Q: (a) What is the probability of the event that exactly one of the colors that appears face up is red?…

A: Given Two faces of a six-sided die are painted red, two are painted blue, and two are painted…

Q: A bag with 6 marbles is shown below. (2 marbies are blue, I is yellow, and 3 are red.) A marble is…

A: Probability = Number of favourable outcome/ Total number of outcomes

Q: Imagine you have an urn containing 2 red, 3 blue, and 6 orange marbles in it. (a) What is the…

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

Q: Suppose that you are going to throw fair dice . What is probability of getting 6

A: The sample space for throwing a fair dice is: S={1, 2, 3, 4, 5, 6}.

Q: 1.) When three coins are flipped, what are the probability of getting * two tails and one head?___…

A: As per our guidelines we are suppose to answer only one question. if a coin is tossed 3 times than…

Q: 57. The probability that a contractor will get a plumbing contract is 2/3, and the probability that…

A:

Q: An urn contains six green balls and five red balls. What is the probability that a ball chosen at…

A: According to the provided information, green balls = 6 red balls = 5 Total balls = 11

Q: 3. The weatherman reports that the probability of rain is 40%. What is probability that it will not…

A: 3. Given Data: P( rain)=0.4   To Find: P( no rain) P( no rain)=1-P( rain)                 =1-0.4…

Q: Tina draws a card at random from a deck of cards numbered from 1 to 30. What is the probability of…

A: The total number of cards is 30. The numbers divisible by 5 are 5,10,15,20,25 and 30. That is,…

Q: a. With one toss of a single number cube, what is the probability of rolling a number less than…

A:

Q: b.) At Big State University, 70% of incoming freshmen will graduate by the end of their first four…

A: (b)   (i)   Obtain the probability of having exactly 850 graduate in four years.   The probability…

Q: 23 - Suppose there are 8 pieces in a box, 3 of which are defective and 5 are flawless. If 3 pieces…

A: Let X represent the random variable   n=3 p=3/8=0.375   X~ Binomial (3, 0.375)

Q: 4.14. Three boys and three girls are lined up in a row. (a) What is the probability of all three…

A:

Q: 4) An unfair coin, when tossed 7 times, has the same probability of obtaining 2 heads out of 7 as it…

A: Let us assumep=the probability that the coin lands on headn=sample size=7 X=the number of headsX…

Q: What is the probability of 4 heads turning up out of four tosses of the coin if the probability of…

A: The given context follows binomial distribution with n = 4 and p = 0.4.

Q: 49. The probability of drawing a spadė from a pack of cards is , the probability of drawing an ace…

A: Given, P (spade) = 1/4 P (Ace) = 1/13       To find, P (Spade or an ace) = ?

Q: The top distance runners for Parker University run the mile between 3.26 minutes and 4.54 minutes.…

A: Given Information : The top distance runners for Parker University run the mile between 3.26 minutes…

Q: a. A set of playing cards has King of hearts and Queen of spades missing. In order to play mentioned…

A:

Q: 3. If you draw 5 cards from a deck of 52 at random, what is the probability of getting 5 different…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: An urn contains 6 gray balls and 4 maroon balls. What is the probability of getting 1 maroon and 1…

A:

Q: 7. From a group of 14 boys and 10 girls, a committee of 3 students is chosen at random. a. What is…

A:

Q: A bag with 6 marbles is shown below(3 marbles are red, 1 is yellow, and 2 are blue) a marble is…

A:

Q: 19. Find the probability of drawing a black face card and a diamond when two cards are drawn…

A: No.of black face cards in a deck = 6No.of diamond cards =13No.of cards in a deck =52

Q: A bag with 6 marbles is shown below. (3 marbles are red, 1 is yellow, and 2 are blue.) A marble is…

A: Given Data: The total number of marbles is: n(T)=6 The number of red marbles is: n(R)=3 The number…

Q: A bag contains 9 black, 5 red, 7white and 4 purple balls. What is the probability of choosing: a).…

A: Given,no.of black balls=9no.of red balls=5no.of white balls=7no.of purple balls=4total no.of…

Q: A family chosen at random has 4 kids (a) what is the probability that there are 2 boys and 2 girls?…

A: Each kid can be chosen in 2 ways (boy or girl)  So 4 kids can be chosen in 24=16 ways  (order of…

Q: A fair coin is tossed 7 times. (a) What is the probability of exactly 4 heads in the 7 tosses? (b)…

A:

Q: In roulette, a wheel with 38 numbers is spun. Of these 38 numbers, 18 are red, 18 are black and the…

A:

Q: In tossing 5 coins, what is the probability of obtaining 3 tails?

A: Given : Tossing 5 coins Assuming a fair coin tossed

Q: 6. At a convention there are 7 mathematics instructors, 5 computer science instructors, 3 statistics…

A: Given that, Number of mathematics instructors = 7 Number of computer science instructors = 5 Number…

Q: 6. The probability that house in an urban area will be burglarized is 8.5%. If 45 houses are…

A: Note: Hi! Thank you for the question. As you have posted independent questions, according to our…

Q: A jar contains twelve green balls and seven red balls. What is the probability that a ball chosen…

A: Total number of balls in the jar is: 12+7=19.

Q: A bag contains 5 blue chips and 6 yellow chips. Suppose that 5 .chips are randomly selected What is…

A: The total number of outcomes of an event can be calculated using combination formula where order of…

Q: Seven cards are dealt randomly from a standard deck of 52 cards. What is the probability of…

A: A standard deck of playing cards consists of 52 cards. All cards are divided into 4 suits. There are…

Q: 19 octahedra (like dice, but having 8 faces rather than 6) are rolled. What is the probability of…

A:

Q: 2. what is the probability of drawing the number 8 or a card of diamonds from a deck of 52 cards?

A: in a pack of 52 cards no.of diamond cards=13no.of 8 number cards=4

Q: A fair coin is flipped 5 times. What is the probability of: a. Getting HTHTH, in that order? b.…

A: According to our guidelines we are supposed to answer only the first three sub parts question if you…

Q: What is the probability of getting exactly 3 heads in 5 flips of a balanced coin?   5/12   1/3…

A: Given that, Coin is flip 5 times i.e n=5 Coin is balanced So, p=p(head)=1/2=0.5

Q: What is the probability of drawing a card with a prime number from a deck of cards

A: there are total 52 cards in deck  prime numbers are 2,3,5,7,11,13 that is total 6 prime numbers in…

Q: 19 What is the probability of 3 Maya has a box of candies and will randomly choose one piece. The…

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…