The sample space listing the eight simple events that are possible when a couple

Question

The sample space listing the eight simple events that are possible when a couple has three children is {bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg}. After identifying the sample space for a couple having four children, find the probability of getting oneone girlgirl and threethree boys left parenthesis in any order right parenthesisboys (in any order). Identify the sample space for a couple having four children. { nothing} (Use a comma to separate answers as needed.) Find the probability of getting oneone girlgirl and threethree boys left parenthesis in any order right parenthesisboys (in any order). nothing (Type an integer or a decimal. Do not round.)

Explanation / Answer

here sample space for 4 children is as follows:

{bbbb ; bbbg ; bbgb ; bgbb ; gbbb ; bbgg ; bggb ; bgbg ; ggbb ; gbgb ; gbbg ;bggg ; gbgg ; ggbg ;gggb ;gggg}

total 16 outcomes.

total number of outcome with one girl and three boys ={ bbbg ; bbgb ; bgbb ; gbbb } =4

hence probability of one girl and three boys =4/16 =1/4 =0.25

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