(b) Suppose there are more girls than boys. (That is, Event X occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for Event Y. Then, enter the probability...

See pictures for questions a, b and c (
Complete the following. Write your answers as fractions.)

Suppose that the genders of the three children of a family are soon to be revealed. An outcome is represented by a string of the sort GBB (meaning the oldest child is a girl, the second oldest is a boy, and the youngest is a boy).

The 8 outcomes are listed below. Assume that each outcome has the same probability.


Complete the following. Write your answers as fractions.

Extracted text: (b) Suppose there are more girls than boys. (That is, Event X occurs.) This will limit the possible outcomes. From the remaining outcomes, check the outcomes for Event Y. Then, enter the probability that Event Y occurs given that Event X occurs. Outcomes given there are more girls than boys Probability BGG GBG GGB GGG Event Y: A boy on the second birth (c) Give the following probabilities and select the correct option below. P(r and Y) P(x) P(YIx) = 0 P(X and Y) P(X) P(YLx) =, >,


Extracted text: (a) Check the outcomes for each of the three events below. Then, enter the probablity of each event. Outcomes Probability BBB BBG BGB BGG GBB GBG GGB GGG Event X: More girls than boys 車 Event Y: A boy on the second birth Event X and Y: More girls than boys and a boy on the second birth