P(boy) = 0.5
P(3 children with 2 boys) = 3C2 * 0.52 * (1 - 0.5)3-2 = 0.375 (ans)
Assuming boy and girl babies are equally likely,find the probability that a family with three children...
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 ?
Consider a couple who gave birth to 4 children (assume a boy is equally likely as a girl) The events space for the experiment S={GGGG,GGGB,GGBG,GGBB,GBGG,GBGB.GBBG GBBB,BGGG BGGB,BGBG,BGBB,BBGG,BBGB,BBBG BBBB } Find the probability of the event E1 of no more than 2 girls in the family () Find the probability of event E2 of no less than two boys in the family (i) (ii) Find the probability of E1 n E2 E1 U E2 (iv) Find the probability of Number Number...
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.
Jane has three children, each of which is equally likely to be a boy or a girl independently of the others. Define the events: A- {all the children are of the same sex}, B- {there is at most one boy;, Cthe family includes a boy and a girl (a) Show that A is independent of B, and B is independent of C (b) Is A independent of C? (c) Do these results hold if Jane has four children?
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?
if boys and girls are equally likely to be born what is the probability of a randomly selected family of 5 children having exactly 2 boys. Use the binomial probability function to find the answer.
What is the probability that a family with three children does not have three children of the same gender? Assume boys and girls are equally likely. List all possible outcome for this event!
1. There are eight simple events that are possible when a couple has three children, where b= boy and g= girl. The combinations possible are: bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg. Assume that boys and girls are equally likely, so that the eight simple events are equally likely. Find the probability that when a couple has three children, there is exactly 1 girl. Express your answer as either a fraction or decimal. 2. Using the same sample as...
1. Suppose that each child born to a couple is equally likely to be a boy or a girl, inde- pendently of the gender distribution of the other children in the family. For a couple having 5 children, compute the probabilities of the following events: (a) All children are of the same gender (b) The 3 eldest are boys and the others girls. (c) Exactly 3 are boys. (d) The 2 oldest are girls. e) There is at least 1...
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)The probability is _______ that at least one of the five children is a boy.