A family has 2 children. It is equally likely there are 2 boys, 2 girls, or 1 boy and 1 girl.Which of the following statements is NOT true?
A. The probability there are 2 boys is 33 %.
B. The probability there is 1 boy and 1 girl is 50%.
C. The probability there is 1 boy and 1 girl is the same as the probability there are 2 girls.
D. The probability for each of the three possibilities is 33 %.
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
can anyone help
I think this question confuses a lot of people because there's a lack of intuitive context -- I'll try to supply that.
Suppose there is a birthday party to which all of the girls (and none of the boys) in a small town are invited. If you run into a mother who has dropped off a kid at this birthday party and who has two children, the chance that she has two girls is 1/3. Why? 3/4 of the mothers with two children will have a daughter at the birthday party, the ones with two girls (1/4 of the total mothers with two children) and the ones with one girl and one boy (1/2 of the total mothers with two children). Out of these 3/4 of the mothers, 1/3 have two girls.
On the other hand, if the birthday party is only for fifth-grade girls, you get a different answer. Assuming there are no siblings who are both in the fifth grade, the answer in this case is 1/2. The child in fifth grade is a girl, but the other child has probability 1/2 of being a girl. Situations of this kind arise in real life much more commonly than situations of the other kind, so the answer of 1/3 is quite nonintuitive.