Ask Experts Questions for FREE Help !
Ask
    USCTro12's Avatar
    USCTro12 Posts: 1, Reputation: 1
    New Member
     
    #1

    Oct 17, 2010, 01:36 PM
    Statistics
    A man and a woman (unrelated) each have exactly two children. At least one of the man's children is a boy, and the woman's older
    child is a boy. You're going to guess that each of them has two boys. What is the probability that you're right in each case?
    You can assume that the probabilities of having a boy or girl are equal.
    kpg0001's Avatar
    kpg0001 Posts: 88, Reputation: 12
    Junior Member
     
    #2

    Oct 17, 2010, 02:09 PM

    I don't know too much about statistics but since no one has answered it yet I'll tack a crack. So they have two children each and in each case there is at least one boy. What are the chances of both other children being boys. Well in each case there is a 1/2 chance of the other sibling being a boy. So, the chance of both families having two boys would be 1/2+1/2=1/4. I can't remember if you add or multiply them but in this case it wouldn't matter.
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
    Expert
     
    #3

    Oct 18, 2010, 06:33 AM

    Let's start with the woman, because that's an easier case to understand. If the older child is a boy, what is the probability that the younger is a boy? There are two possibilities - the younger could be either a boy or a girl, so the probability of the younger being a boy is 1/2.

    Now consider the man. You know he has at least one boy, but you don't know whether the boy is the older child or the younger. The birth order could be any one of these:

    Boy, Girl
    Boy, Boy
    Girl, Boy

    Hence the probability of the man having two boys is 1/3.

    It's unclear whether the question is asking for the probability of both the man and the woman having two boys, but to find this you multiply the two probabilities since they are independent events:

    Prob(man has 2 boys AND woman has 2 boys) = 1/3 x 1/2 = 1/6.

Not your question? Ask your question View similar questions

 

Question Tools Search this Question
Search this Question:

Advanced Search


Check out some similar questions!

Statistics [ 1 Answers ]

The number of grams of fiber per serving for a random sample of three different kinds of foods is listed. Is there sufficient evidence at the 0.05 level of significance to conclude that there is a difference in mean fiber content among breakfast cereals, fruits, and vegetables? Breakfast...

Statistics [ 1 Answers ]

18) A marketing research firm wished to study the relationship between wine consumption and whether a person likes to watch professional tennis on television. One hundred randomly selected people are asked whether they drink wine and whether they watch tennis. The following results are obtained: ...

Statistics [ 2 Answers ]

I have two questions that I just can't figure out correctly. 1. If x-bar is 4.725 and R-bar is 0.0096, and n=4, then the UCL sub R and LCL sub R are? A. 0 and 0.022 B. 0.022 and 0 C. 0.563 and 0.563 D. 0.022 and 1.00 2 If x-bar is 4.725 and R-bar is 0.0096, and n=4, then the UCL sub x-bar...


View more questions Search