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.
solution :
Given n=5, p=0.5 , (1-p)=0.5
Binom~(n,p,q,x) =
P(x>=1) =1-p(x<1)
=1-( p(x=0)+p(x=1))
=1 -0.03125
P(x>=1) =0.9687
SOLITION :
p = probability a boy = 1/2
q = probability not a boy = 1/2
P ( at least 1 boy)
= 1 - P (no boy in 5 children)
= 1 - (1/2)^5
= 1 - 1/32
= 31/32
= 0.96875 (ANSWER).
Find the probability that when a couple has five children, at least one of them is a boy
Find the probability of getting at least one girl when a couple has five children. Assume that boys and girls are equally likely and that the sex of any child is independent of the others.
A couple intends to have four children. Assume that having a boy and girl is equally likely event.a) List sample spaceb) Find the probability that couple has two boys and two girls; c) Find the probability that couple has at least one boy
Please answer both questions If a couple plans to have 5 children, what is the probability that there will be at least one boy? Assume boys and girls are equally likely. Is that probability high enough for the couple to be very confident that they will get at least one boy in 5 children? The probability is (Type an integer or a simplified fraction.)
Find the probability of a couple having a baby boy when their fifth child is born, given that the first four children were all boys. Assume boys and girls are equally like Is the result the same as the probability of getting all boys among five children? The probability is _______ (Type an integer or a simplified fraction.) Is this result the same as the probability of getting all boys among five children? A. Yes. The events are all independent. B. Yes. The final...
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...
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...
2) What is the probability that a couple will have a total of 8 children, 5 boys and 3 girls? 3) What is the probability that a couple will have five children: the oldest a boy, the next two girls, the fourth child a boy, and the youngest a 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 plans to have children until they get a girl, but they agree that they will not have more than three children even if all are boys. (Assume boys and girls are equally likely.) a) Create a probability model for the number of children they might have. b) Find the expected number of children. c) Find the expected number of boys they’ll have.
A couple plans to have two children. Assume the probability of a girl is 0.50. a) List the set of all the possible outcomes in having two children b) What is the probability that the couple has one boy and one girl? c) What is the probability that the couple will have at least one girl? d) What is the probability that the couple will have no girls?