Probability from a Sample Space. ?In Exercise?, ?use the given sample space or construct the required sample space to find the indicated probability. Two Children Exercise 1 lists the sample space for a couple having three children. First identify the sample space for a couple having two children, then find the probability of getting one child of each gender. Again assume that boys and girls are equally likely. Exercise 1 Probability from a Sample Space. ?In Exercise?, ?use the given sample space or construct the required sample space to find the indicated probability. Florida Lottery Let ?A denote the event of placing a $1 straight bet on the Florida Play 4 lottery and winning. The chance of event ?A occurring is 1 in 10,000. What is the value of ?P? (?A?)? What is the value of ?P? (?)? Example 1 In the following display, we use "b" to denote a baby boy and "g" to denote a baby girl. Sample Procedure Example of Event Space(List of Simple Events) Single birth 1 girl (simple event) {b, g} 2 boys and 1 girl (bbg, {bbb, bbg, bgb, and gbb are all bgb, bgg, 3 births simple events gbb, gbg, resulting in 2 boys ggb, ggg} and 1 girl) With one birth, the result of 1 female is a ?simple event because it cannot be broken down any further. With three births, the event of "2 girls and 1 boy" is ?not a simple event because it can be broken down into simpler events, such as ggb, gbg, or bgg. With three births, the ?sample space?consists of the eight simple events listed above. With three births, the outcome of ggb is considered a simple event, because it is an outcome that cannot be broken down any further. We might incorrectly think that ggb can be further broken down into the individual results of g, g, and b, but g, g, and b are not individual outcomes from three births. With three births, there are exactly eight outcomes that are simple events: bbb, bbg, bgb, bgg, gbb, gbg, ggb, and ggg.

Step-by-step Solution Step 1 of 2 The sample space for a couple having two children is {bb, bg, gb, gg} where be stands for ‘boy’ and g stands for ‘girl’.