Question

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 %.

Answer 1

can anyone help

Answer 2

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.

Answer 3

so its not C

Answer 4

its a or d

Answer 5

it's b i think

Answer 6

no pls read the ques @yukselcia

Answer 7

remeber NOT

Answer 8

imma take a wild guess on a or d

Answer 9

a or d

Answer 10

i think B is the correct answer

Answer 11

no a or d

Answer 12

I think the question is backwards... B is the only TRUE statement

Answer 13

There are 3 possible outcomes i.e 2 boys, 2 girls, and (1 boy and 1 girl)
The probability there is 1 boy and 1 girl = 1/3 = 33 %
So B is not true

Answer 14

yes, given the false assumption of P(1/3), the answer has to be B

Answer 15

the answer was B i check after i got it wrong

Answer 16

come on guys give me medals

Answer 17

i think its B now look "Probability" meaning not sure.. but we see it 100% sure =)

Answer 18

stephinne is right!!!!!

Answer 19

AND the answer is B idol stephanie!!! jersey "74" hahahaha

Answer 20

the answer is B

Answer 21

ya