Suppose, there are iron metal pieces, one red on both sides, one white on both sides and one having a side one of each colour. An iron metal piece is selected at random and placed on a table. If the is red, what is the probability that the down side is red.

Q: Suppose that a school has 10 courses offered, 3 of which are engineering major, 5 are philosophy…

A: It is given that in a school has 10 courses offered. In which 3 of which are engineering major, 5…

Q: If two marbles are drawn with replacement from a bag containing 2 blue marble, 3 white marbles, 4…

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Q: If a poker hand of 5 cards is drown from a deck of 52 cards what is the probability that it will…

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Q: A box contains 3 white balls and 5 black balls, and all the balls are the same on all sides except…

A: Given that - A box contains 3 white balls and 5 black balls, and all the balls are the same on all…

Q: Suppose that a certain college class contains 35 students. Of these, 20 are juniors, 19 are physics…

A: Given information Total students = 35 No of junior students = 20 No of physics major = 19 Neither =…

Q: A 5 card hand is dealt from a standard 52-card deck. Then the cards are replaced, the deck is…

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Q: A jar contains 4 red marbles, 8 green marbles and 12 white marbles. If a marble is drawn from the…

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Q: Two cards are drawn at random from a deck of 52 cards without replacing the first card before…

A: We know that There are 52 card in the deck in which they divided into two color i.e red(26) and…

Q: Suppose that a certain college class contains 47 students. Of these, 21 are freshmen, 29 are physics…

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Q: In a group of students, 45% play golf, 55% play tennis and 70% play at least one of these sports.…

A: Define some events A: A student plays golf B: A student plays tennis

Q: Suppose that 20% of people own dogs. If you pick two people at random, what is the probability that…

A: Given that, 20% of people own dogs. Sample size = 2

Q: A bag contains 2 red marbles, 2 green marbles, and 4 blue marbles. If we choose a marble, then…

A: From the provided information, A bag contains 2 red marbles, 2 green marbles and 4 blue marbles.…

Q: One bag contains 6 white balls, 3 red and 4black balls, and a second bag contains 4white balls and 6…

A: 1st bag:no.of white balls=6no.of red balls=3no.of black balls=4Total no.of balls=132nd bag:no.of…

Q: Suppose that all license plates in a state have three letters and then four digits. If a plate is…

A: There are 10 digits [0-9]  and 26 letters [A-Z]   We can pick each letter in 26 ways and each digit…

Q: The mathematics department of a college has 14 male professors, 15 female professors, 9 male…

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Q: what is the probability that the other side is colored black?

A: Our aim is to find the probability that the other side is colored black.

Q: Suppose that 15% of people own dogs. If you pick two people at random, what is the probability that…

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Q: If out of a population consisting of 40% Hindus, 30% Muslims, 20% Sikhs, and 10% Christians, 10…

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Q: A bag contains 5 red marbles, 6 green marbles, and 3 blue marbles. If Cymra draws a marble, keeps it…

A: There are total (5+6+3)= 14 marbles in the bag. Among the 14 marbles, 5 are red   So, the…

Q: If two cards are selected from a standard deck of 52 cards without replacement. What is the…

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Q: A state senate has 100 senators; 60 are democrats and 40 are republicans. Of the Democrats, 40 are…

A: To find: Given that a senator is democrat, what is the probability that he or she is a liberal?

Q: If two cards are selected from a standard deck of 52 cards without replacement, what is the…

A: Two cards are selected from a standard deck of 52 cards without replacement.TT

Q: A box contains 50 cards where 35 of them are green and the other 15 cards are blue . If two cards…

A: Given data isTotal no. of cards in a box = 50No.of green cards = 35No.of blue cards = 15

Q: A box has 18 marbles in it, 5 of which are green, 6 are white, and 7 are red.  If two marbles are…

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Q: From a pack of 52 playing cards, three cards are drawn one after the other without replacement. What…

A: Total number of cards = 52 Number of Ace cards = 4 Number of King cards = 4 Number of Jack cards = 4

Q: Two different missiles are shot simultaneously at a practice target. If the probability of the first…

A: Given that  The probability of the first one hitting the target=P(A) =1/4 The probability of the…

Q: A card is drawn at random from a well shuffled pack of cards. What is the probability that it is a…

A: Solution:

Q: A box contains 20​ chocolates, but only two of them are the dark chocolate that somebody likes. When…

A: Theoretical Probability:Probability of an event is the number of outcomes favourable to the event,…

Q: Suppose Julia owns a pen manufacturing company and determines that 3 out of every 75 pens are…

A: Here given that 3 out of every 75 pens are defective.  So , p = 3 / 75

Q: If two cards are drawn at random from a pack of cards, what is the probability that one of them is…

A: The number of cards in a deck are 52.

Q: In a certain high school, 54% of the students are female, 46% of the students are male. If you…

A: Given data   In school 54% are female students and 46% are male students you select one student at…

Q: Suppose you have 3 nickels and 4 dimes in your right pocket and 2 nickels and a quarter in your left…

A: Consider the following, E=right pocket  is chosenF=left pocket is chosenN=selected coin is nickel…

Q: Two cards are drawn at random on an ordinary deck of cards. What is the probability that both of…

A: GivenTotal no.of cards = 52No.of kings card in deck = 4No.of diamond cards in a deck = 13

Q: suppose that a school has 10 courses offered, 3 of which are engineering major, 5 are philosophy…

A: Solution: From the given information, out of 10 courses offered 3 are engineering major, 5 are…

Q: There are 3 blue balls, 5 red balls and 4 white balls in a bag. If a person selects two of the…

A: We have to find  the probability that the second ball is second ball is red, given that the first…

Q: If two marbles are drawn with replacement from a bag containing 4 blue marble, 3 white marbles, 7…

A: We have to find probability..

Q: If two cards are drawn from a deck, what is the probability that exactly one of the cards will be a…

A: It is given that, Two cards are drawn from the deck. Total number of cards in a deck=52 Total number…

Q: A card is drawn at random from a set of cards containing two decks. What is the probability that it…

A: Given that, set of card contains 2 decks. which means there are 2 set of cards. Each deck consists…

Q: A bag contains 6 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of…

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

Q: A card is drawn at random from a set of cards containing two decks. What is the probability that the…

A: Solution: A deck contains 52 cards. It has 4 suits. Each suit contains 13 cards. There are 26 red…

Q: Suppose that 51% of people own dogs. if you pick two people at random what is the probability that…

A: Given: The value of 51% of people own dogs includes the pick two people at random. The probability…

Q: If two cards are drawn from a deck, what is the probability that at least one of the cards will be a…

A: 3 ways of drawing at least one face card Face card - Face card Non Face card - Face card Face card -…

Q: Suppose that 19% of people own dogs. If you pick two people at random, what is the probability that…

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Q: A standard deck of playing cards is shuffled and three people each choose a card. Find the…

A: Given, A standard deck of playing cards is shuffled and three peoples choose each card To find the…

Q: A 3​-card hand is dealt from a standard​ 52-card deck, and then one of the 3 cards is chosen at…

A: Probability is calculated by dividing the number of favorable event divided by the total sample…

Q: A bag contains 12 pens, 6 of which are of the color blue and the remaining 6 are red. If a person…

A:

Q: In a certain school, 17% of the students are enrolled in a psychology course and 28% are enrolled in…

A:

Q: A color tile will be taken at random contains 2 blue tiles, 5 red tiles, and is the probability that…

A: Given data, Number of blue tiles=2 Number of red tiles=5 Number of green tiles=4 Total number of…

Q: A bag contains 7 red marbles, 2 blue marbles, and 1 green marble. If a marble is selected at random,…

A: There are total (7+2+1)=10 marbles  Given that there are 2 blue marbles So the number of marbles…