A couple decides they will continue to have children until they have two males. What is the probability that their second male is their fourth child?

Q: A class is composed of 20 boys and 25 girls. If a pupil is called to recite, what is the…

A: Given  A class is composed of 20 boys and 25 girls. If a pupil is called to recite, what is the…

Q: A fair coin is flipped 6 times. Find the probability that heads was flipped exactly 4 times

A: The probability of the heads is calculated by the binomial distribution probability mass function.…

Q: In a class of 22 students, 5 have a brother and 13 have a sister. There are 2 students who have a…

A: class of 22 students 5 have brother  13 have sister 2 have brother and sister   P(have sister | have…

Q: Four persons are sitting at a rectangular table. What is the probability that the two older people…

A: From the given information we find the probability.

Q: In a statistics class of 42 students, there were 11 men and 31 women. Six of the men and seven of…

A:

Q: A pair of dice are tossed twice. Find the probability that the first roll is a total of at least 12…

A: roll pair of dice twice.  roll dice : {1,2,3,4,5,6} for rolling pair of dice : total outcomes = 36

Q: In a class of 25 students, 14 have a brother and 17 have a sister. There are 5 students who do not…

A: From the given information,    Total number of students, n= 25 Let,     A be students have brother…

Q: There are 40 students in a class and 4 midterms. What is the probability that someone has a midterm…

A: Given data: The total numbers of students are n=40. The numbers of midterms are m=4.   The…

Q: A couple has three children. Assuming each child has an equal chance of being a boy or a girl, what…

A: From the provided information, A couple has three children that is n = 3 Probability of being a girl…

Q: You roll a SIX sided die. What is the probability that the value of the roll will be even?

A: If we roll a 6 sided dice, the possible outcomes are 1,2,3,4,5 and 6 And each outcome is equally…

Q: Suppose 30 people are in a room. What is the probability that two of them share thesame birthday?…

A: It is given that 30 people are in a room then we have to find the probability that two of them share…

Q: A couple has two children. What is the probability that both are girls if the older of two is a…

A: The couple has two children.

Q: A couple is planning to have 6 children. If the true probability of a baby girl being born is 0.521,…

A:

Q: Two dice are rolled simultaneously. What is the probability that the two scores are different?

A:

Q: In a class of 10, there are 5 students who play soccer. If the teacher chooses 2 students, what is…

A: Given that,  5 students play soccer  5 students not paly soccer  Total students =10 students

Q: There are 20 students who will join either volleyball team, or basketball team or both. If 12…

A: The number of student join both is   N(A or B) =N(A)+N(B)-N(A and B) N(A and B)= N(A)+N(B)- N(A or…

Q: A coin is tossed 3 times. The probability of getting exactly two heads is

A: Here given that A coin is  tossed 3-times

Q: What is the probability that both grand children are boys?

A: Given that you have 2 grand children, and the elder one is a boy. The remaining one is the younger…

Q: If you throw a single die twice, what's the probability of first getting a 3 and then getting…

A:

Q: Mrs. Cruz has three daughters-in-law who are about to give birth. All of them have no idea as to the…

A: Given data: Mrs. Cruz has three daughters-in-law who are about to give birth. All of them have no…

Q: In a second grade class containing 14 girls and 11 boys, 2 students are selected at random to give…

A:

Q: A pair of die is rolled. What is the probability that the number 4 appears

A:

Q: Two dice are thrown simultaneously.Find the probability that the number of spots upper host is 9 or…

A: When two dice are thrown, there are 6*6 = 36 outcomes.

Q: If two coins are tossed, what is the probability of getting both heads

A:

Q: If they have one child, what is the probability that it is a boy?

A: If they have one child, then there will be two outcomes Girl, Boy Number of elements in sample space…

Q: If the probability of being hospitalized during a year is 0.25. Find the probability that no one is…

A: X has binomial distribution. X~binomial(n,p)n=3p=0.25probability mass function of X;…

Q: class consists of 50 women and 21 men. If a student is randomly selected, what is the probability…

A: According to the given information in this question, we need to find the following probability

Q: fair coin is flipped 100 times . Find the probability that at least 75 heads occur

A: n =100 , p = 0.5 np = 50 > 10 n(1-p) = 50 > 10 =======================

Q: A family has three children. It is known that they have at least one girl, what is the probability…

A: Given Information: A family has three children. It is known that they have at least one girl. To…

Q: Five cards are drawn without replacement from a deck of cards containing four spades and five clubs.…

A: Given: The total number of spades are 4. The total number of clubs are 5. The total number of cards…

Q: A couple has 2 children. What is the probability that both are girls if the older of the two is a…

A:

Q: A die is rolled twice. What is the probability of getting 3 or 5?

A: From the given information, a dice rolled twice.   The total sample space is,