If a family has six children, is it more likely they will have three boys and...

If a family has six children, is it more likely they will have three boys and three girls, or four of one gender and two of the other? Assume each child is a boy or a girl with equal probability, independently of other children.

Solutions

Expert Solution

P(Three boys and three girls)

= 0.3125

P(Four of one gender and two of other)

= P(Four boys; 2 girls) + P(4 Girls; 2 Boys)

= 0.46875

Hence,

Four of one gender and two of the other is more likely.

orchestra answered 1 year ago

Next > < Previous

Related Solutions

A family decides to have children until it has three male children. Assuming ?(????) = ?(??????)...

A family decides to have children until it has three male children. Assuming ?(????) = ?(??????) = 0.5, a. what is the probability that the family has ? female children? b. Calculate ?(?) and ?(?).

55. A family has three children. Let A be the event that they have less than...

55. A family has three children. Let A be the event that they have less than two girls and B be the event that they have exactly two girls. (a) List all of the basic outcomes in A. (b) List all of the basic outcomes in B. (c) List all of the basic outcomes in A ∩ B (d) List all of the basic outcomes in A U B. (e) If male and female births are equally likely, what is...

A family has 4 children. Assume that each child is as likely to be a boy as it is to be a girl.

A family has 4 children. Assume that each child is as likely to be a boy as it is to be a girl. Find the probability that the family has 4 girls if it is known the family has at least one girl.

A married couple has 3 children. What is the probability thatthey have 2 boys and...

A married couple has 3 children. What is the probability that they have 2 boys and one girl? Note: you can assume that for each birth, p(girl) = 0.5, p(boy) = 0.5.

A couple wants to have 2 boys and 2 girls. They will continue to have children...

A couple wants to have 2 boys and 2 girls. They will continue to have children until they have reached the goal.  Assuming that the probability that they have 54% chance to have a boy and 46% chance to have a girl in every pregnancy. No twin or more are possible.  Assuming that their goal is possible and has been fulfilled today! Create at least four hypotheses based on the data file provided! 1) Use a different test for each...

Choose the best choice In terms of gender and peer relationships, boys are more likely than...

Choose the best choice In terms of gender and peer relationships, boys are more likely than girls to be _________, and girls are more likely than boys to be . *liaisons; isolates *liaisons; in cliques *isolates; liaisons *isolates; in cliques *in cliques; isolates People suffering from bulimia and anorexia are _________ other teenagers to commit suicide. *less likely than *just as likely *more likely than

The Jameson family have three young children, ages 8, 6 & 2. They live in a...

The Jameson family have three young children, ages 8, 6 & 2. They live in a home in an urban area adjacent to a local construction company. The construction company owns multiple construction vehicles, including several back hoes. The property is gated and fenced and there are "NO TRESPASSING" signs posted throughout the property. One day, the Jameson's 8 year old daughter managed to climb through a hole in the company's fence to play on the property. While there, she...

If a couple has six boys and six girls, how many gender sequences are possible? (Also,...

If a couple has six boys and six girls, how many gender sequences are possible? (Also, is there a way to do this with a T-83 plus calculator?)

Boys and Girls: Suppose a couple plans to have two children and the probability of having...

Boys and Girls: Suppose a couple plans to have two children and the probability of having a girl is 0.50. (a) What is the sample space for the gender outcomes? {bb, bg, gg} {b,g} {bb, bg, gb, gg} {bb, gg} (b) What is the probability that the couple has one boy and one girl? 1 3 1 4 1 2 3 4 (c) What is the probability that the couple will have at least one girl? 1 4 1...

In MAPLE or MATLAB A family with three children is chosen at random and the number...

In MAPLE or MATLAB A family with three children is chosen at random and the number X of daughters is counted. Describe how to simulate an observation on X based on U ~ unif[0,1]. Then, simulate 20 observations on X.

Subjects