Question

I have two children. (a) At least one of them is a girl. What is the probability that both are girls? (b) The older one is a girl. What is the probability that both are girls? (c) I have a daughter whose name is Jane. What is the probability that both are girls?

Answer #1

The probability of birth of a girl is 0.5. A couple wants to
have children until they have at least two girls in their
families.
What is the probability that the family will have four
children?
A. 1/16
B. 21/32
C. 7/16
D. 11/32

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, gb, gg}{bb, bg, gg} {bb,
gg}{b,g}
(b) What is the probability that the couple has one boy and one
girl?
1
2
3
4
1
4
1
3
(c) What is the probability that the couple will have at least one
girl?
1
4
1
2
3...

Find the probability that when a couple has five children, at
least one of them is a boy. (Assume that boys and girls are
equally likely.

Assume that girls and boys are equally likely and the event
"having a girl" does not affect the future/past probability of
"having a boy" and vice versa. Also, there are no twins. You see a
woman walking on the street with a girl. She tells you that she has
three children and that the girl with her is her daughter. a) What
is the probability that she has two boys? Incorrect: Your answer is
incorrect. (enter a fraction) b) What...

1. If a couple plans to have 4 children, what is the probability
that there will be at least one girl? Assume boys and girls are
equally likely.
2. Find the probability of a couple having a baby boy when their
4th child is born, given that the first three children were all
boys. Assume boys and girls are equally likely.

Problem: Suppose that a couple will have 3 children. Assume that
the probability of having a girl is .487 and the probability of
having a boy is .513. Also assume that x is a random variable for
the number of girls and find the probability where x is 0, 1, 2, or
3. In order words, answer the following probability questions.
What is the probability that none of the three children will be
girls?
What is the probability that exactly...

Problem: Suppose that a couple will have 3 children. Assume that
the probability of having a girl is .487 and the probability of
having a boy is .513. Also assume that x is a random variable for
the number of girls and find the probability where x is 0, 1, 2, or
3. In order words, answer the following probability questions. What
is the probability that none of the three children will be girls?
What is the probability that exactly...

A 1954 study of children in California found that heights of
9-year-old girls have a mean of 135 centimeters and a standard
deviation of 5.6 centimeters, while weights of 9-year-old girls
have a mean of 31.6 kilograms and a standard deviation of 5.8
kilograms. The correlation between heights and weights is 0.73.
Assume that heights and weights follow a bivariate normal
distribution.
(a) What is the expected weight of a 9-year-old girl whose
height is 125 centimeters?
(b) If a...

1. Some couples planning a new family would prefer at least
one child of each sex. The probability that a couple’s first child
is a boy is 0.512. In the absence of technological intervention,
the probability that their second child is a boy is independent of
the sex of their first child, and so remains 0.512. Imagine that
you are helping a new couple with their planning. If the couple
plans to have only two children:
(a) What is the...

A
young couple decides to keep having children until they have a
girl. Assuming a boy or a girl are equi-probable possibilities in
the birth of every child and the gender of every child is
independent of the previous, what would be the expected number of
children the couple would have when the first girl is born? What is
the probability that the fourth child would be the first
girl?

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 4 minutes ago

asked 7 minutes ago

asked 8 minutes ago

asked 10 minutes ago

asked 11 minutes ago

asked 12 minutes ago

asked 14 minutes ago

asked 20 minutes ago

asked 20 minutes ago

asked 25 minutes ago

asked 40 minutes ago