If A is the event “drawing an ace” from a deck of cards and B is the event “drawing a spade”, then A and B are not mutually exclusive since the ace of spade can be drawn. What is the probability of drawing either an ace or space or both?

Q: 12% of patients who are tested for having Cooties, what is the probability... (assume each patient…

A:

Q: An um contains three red and two white balls. A ball is drawn, and then it and another ball of the…

A: In probability theory, an event is an outcome or a set of outcomes of a random experiment to which a…

Q: r with a batting average of 0.26 bats 5 times in a game, and each at-bat is an independent event,…

A: Binomial distribution allows us to compute the probability of observing specified number of events…

Q: If there are 12 people in a room: 3 democratic men, 3 republican men, 3 democratic women, and 3…

A: Given: Total number of people in a room = 12 Democratic men = 3 Republican men = 3 Democratic women…

Q: A card is drawn from an ordinary deck and we are told that it is red. What is the probability that…

A:

Q: One urn has 3 blue and 2 white balls; a second urn has 1 blue and 3 white balls. A single fair die…

A: E1: Urn 1  P(E1) = 2/6 E2: Urn 2   P(E2) = 4/6  A: Blue ball P(A|E1) = 3/5 = 0.6 P(A|E2) = 1/4 =…

Q: If 1% of an airline’s flight suffers a minor equipment failure in an aircraft, what is the…

A: From the provided information, 1% of an airline’s flight suffers a minor equipment failure that is p…

Q: If you roll a fair six sided die nine times, what is the probability that at least two of the rolls…

A: The probability of getting three=16 The probability of not getting three=56 The probability that…

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

A:

Q: Suppose a card is drawn at random from a standard deck.  The card is then shuffled back into the…

A:

Q: Suppose a recent government report indicates that 1% of the labor force is American Indian. Of the…

A: Given,      PA=0.01      PB/A=0.11 and PB/A-=0.06      PB=PA⁎PB/A+PA⁎PB/A…

Q: A group of students consisting of 20 males and 20 females was selected to participate in a research…

A:

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…

A:

Q: A group of students consisting of 20 males and 20 females were selected to participate in a research…

A: Solution: From the given information, there are 20 males and 20 females. Total number of students is…

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

A: Given : n = number of cards in the  hand = 3 x= number heart card in the hand = 1

Q: Suppose a card is drawn at random from a standard deck. The card is then shuffled back into the…

A: It is known that Number of hearts = 13 Number of black cards = 26 Number of Jack = 4 Total cards in…

Q: In a certain city, 5% of all drivers have expired licenses and 10% have an unpaid parking ticket. If…

A: Ans-  Given, In a certain city, 5% of all drivers have expired licenses (event E)and 10% have an…

Q: A box contains 6 white balls and 4 black balls. If 2 balls are drawn in succession. What is the…

A:

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 we have three cards identical in form except that both sides of the first card are…

A: Given:  We have three cards identical in form except that both sides of the first card are colored…

Q: 2. One bag contains four white balls and three black balls, and a second bag contains three white…

A: Given One bag contains= 4 white balls and 3 black balls, second bag = 3 white balls and 5 black…

Q: There are 4 red and 5 green balls in a bag. If two balls are drawn one af another at random without…

A:

Q: A 2​-card hand is dealt from a standard​ 52-card deck, and then one of the 2 cards is chosen at…

A: Total cards = 52 Total diamond card= 13 One card is selected and which is diamond. Thus, Total…

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: The hearts are removed from a standard deck of cards and only those 13 cards are shuffled. What is…

A: Probability is defined as the total number of favorable cases of an event divided by the total…

Q: Suppose a recent government report indicates that 1% of the labor force is American Indian. Of the…

A: The probabilities are P(A) = 0.01, P(A') = 0.99, P(B|A) = 0.11, P(B|A') = 0.06. The probability that…

Q: You are your friends are playing cards and a standard deck of 52 playing cards is thoroughly…

A: Given a deck of 52 playing cards.  We need to find the probability that the first four cards dealt…

Q: A box contains ten white and three black balls while another box contains three white and five black…

A:

Q: If new cases of West Nile in New England are occurring at a rate of about 2 per month, then what’s…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Two cards are drawn from a standard deck without replacement. What is the probability that the first…

A: We know that total numbers of cards in a standard deck are 52.Total numbers of kings in a standard…

Q: A bag contains 7green marbles, 10 blue marbles, and 8 red marbles. Let's call the event A "Drawing a…

A: A bag contains 7 green marbles, 10 blue marbles, and 8 red marbles. Let define the events: A…

Q: A class consists of 40 psychology majors, 30 criminal justice majors, and 30 nursing majors.  If one…

A: Given, A=Psychology major n(A)=40 B=Criminal justice major n(B)=30 C=Nursing major n(C)=30

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: The probability that a student at a university is a male is 0.48, that a student is a business major…

A: Define the events , A : The student is a male B : The student have a business major Given, P(A) =…

Q: Suppose box A contains 2 red balls and 3 blue balls and box B contains 4 red balls and 3 blue ball.…

A:

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: Suppose a drawer contains four red socks, five white socks, and three green socks. We draw one sock…

A: Introduction: Total number of socks in the drawer is 12 [= 4 red + 5 white + 3 green]. Since the…

Q: In five card poker, a straight consists of five cards with adjacent denominations ( e.g. 9 of clubs,…

A:

Q: Suppose 13 people want to schedule a regular meeting one evening a week. What is the probability…

A: Given: Number of people, n=13. The objective is to find the probability that there is an evening…

Q: A company has 100 employees, of which 57 are production workers, 40 are managers of different…

A: Given:

Q: Two coins are tossed 700 times, and the results are:Two heads: 205 timesOne head: 325 timesNo head:…

A: Two coins are tossed 700 times, and the results are:Two heads: 205 timesOne head: 325 timesNo head:…

Q: An urn contains 4 red and 4 white balls. Two balls are drawn in succession without replacement. If…

A: Given ,              no. of red balls = 4              no. of white balls = 4              Total no.…

Q: A Psychology class consists of 14 males and 36 females. If a random sample of n =3 students are…

A: Given that there are 14 males and 36 females. Given that n=3.

Q: Suppose a recent government report indicates that 1% of the labor force is American Indian. Of the…

A: We have to use Bay's Formula : P( A | B ) = P(A)*P( B | A ) P(A)*P( B | A ) +P(Ac)*P( B | Ac )

Q: Suppose a die is tossed, let A be the event of "an even number turning up" and B be the event of "an…

A: Mutually Exclusive Events: Two events are said to be mutually exclusive if they cannot occur at the…

Q: An urn contains 7 red balls, 2 blue balls, 4 green balls and 3 yellow balls. If two balls are drawn…

A: Given, An urn contains 7 red balls, 2 blue balls, 4 green balls and 3 yellow balls. Total number of…