Answered

Discover a wealth of knowledge and get your questions answered on IDNLearn.com. Ask anything and receive well-informed answers from our community of experienced professionals.

There are three houses next to one another and two kids live in each house. one house has two girls, and one house has a boy and a girl. If you were to walk into a house at random and see a girl, what is the probability that the other kid in the house is also a girl? And the answer is not 1/2.

Sagot :

Isaacf1890idn

Answer:

1/9

Step-by-step explanation:

There could be

1. Boy and a boy

2. Boy and a girl

3. Girl and a girl

Only one out of the three could have two girls: the last one. Meaning there is a 1/3 chance of walking into that one and a 1/3 chance that that house would have 2 girls. So it would be a 1/9 chance.

Hope this helps! :)

Jcherry99idn

Answer:

4/9 of the time the other child is a girl.

Step-by-step explanation:

The trick is what's in the third house. There are 3 choices

b   g

b   b

g  g

So writing all three houses together we have

g   g           g    g             b  g

b   g           b    g             b b

                                       g  g

The first two houses are identical

1/3 * 1/2                for house 1

1/3 * 1/2                for house 2

1/3 * 1/3                for house 3

Now to explain it about. The probability of choosing 1 of the houses is 1/3 for all of the houses. The second number is the probability of getting 2 girls.

So the total probability is

1/6 + 1/6 + 1/9

2/6 + 1/9 = 6/18  + 2/18 = 8 / 18 = 4/9

Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Your search for solutions ends at IDNLearn.com. Thank you for visiting, and we look forward to helping you again.