A family has three children. Every child was born to be a boy or girl with 50% chance. The probability of this family having at least one boy is?
A family has three children. Every child was born to be a boy or girl with...
Problem 8: 10 points Assume that each newly born child is a boy or a girl with probability Consider a family that has two children 1. What is the probability that there are two girls, given that the eldest child is a girl? B) What is the probability that there are two girls, given that there is at least one girl?
A couple is planning on having three children. You may assume that one child is born at a time (no twins or triplets), that each child was born two years apart from one another, and that it is equally likely for the couple to have a boy or a girl. Construct a tree diagram and show the sample space. a) What is the probability that the oldest child is a girl and the two younger children are boys? b) What...
A couple has three children. Assuming each child has an equal chance of being a boy or a girl, what is the probability that they have at least one girl? a. .125 b. .5 c. 1 d. .875
2. Suppose that a family is going to keep having children until they have at least one girl. Further suppose we can model successive births as boy and one independent trials with p P(girl) and P(boy) = 1 - p. Let Y denote the total number of children in the family. Compute, for y 2, (i) the probability that the first boy born is the y-th child born; [2] (ii the probability that the first girl born is the y-th...
Assume that the probability of a boy being born is the same as the probability of a girl being born.(a) Find the probability that for family with four children, the two oldest children are girls.(b) Find the probability that for family with four children, exactly two of the children are boys.(c) Find the probability that for family with four children, at least two of the children are boys.
#7. A family has 3 children, each of whom is a boy or a girl with probability ½. Let A-there is at most one girl and B the family has children of both sexes. Are A and B independent? Are A and B independent if the family has four children?
For every family with 2 children, denote the sex of the first and the second child by a pair xy (where x and y can be either a boy or a girl), and suppose all 4 possible combinations of xy are equally likely.(a) What is the conditional probability that the second child is a girl, given that the first child is a boy. (b) The king comes from a family of two children. What is the probability that his sibling...
In a family with 6 children, let success be defined as having a baby girl, and find the probability that: (A) the first girl is the first child born. (B) the first girl is the 2nd or the 4th child born. (C) the first girl is the last child born. (D) there are no girls born into this family.
A family has three children. The probability of having a girl is 0.5. What is the probability of having 2 girls followed by 1 boy? The answer should be to the nearest thousanth A. 0.125 B. 0.191 C. 0.148 D. 0.375
2. There are 10 children in a given family. Assuming that a boy is as likely to be born as a girl, what is the probability of the family having a) 5 boys and 5 girls; b) From 3 to 7 boys ?