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Please help, stuck on this problem! 0 in12 7.1.035 points Tanf An experiment con

ID: 3065647 • Letter: P

Question

Please help, stuck on this problem!

0 in12 7.1.035 points Tanf An experiment consists of recording, in order of their births, the sex composition of a four-child family in which the children were born at different times. (Let b represent the birth of a boy and g represent the birth of a girl. Enter your answers using letter combinations separated by commas. Example: bgbg, 9999....) (a) Describe an appropriate sample space S for this experiment. S- (b) Describe the event E that there are three boys and a girl in the family (c) Describe the event F that the youngest child is a girl. (d) Describe the event G that the oldest and the youngest children are both girls. a Show My Work (optional)

Explanation / Answer

a)

Sample Space

S = {bbbb, bbbg, bbgb, bgbb,

gbbb, bbgg, bgbg, bggb,

ggbb, gbgb, gbbg, bggg,

gbgg, ggbg, gggb, gggg}

b)

E = {bbbg, bbgb, bgbb, gbbb}

c)

F = { gbbb, ggbb, gbgb, gbbg,

gbgg, ggbg, gggb, gggg }

d)

G = { gbbg, gbgg, ggbg, gggg }