The conditioning event 'at least one girl' restricts the original sample space of four equally likely ordered outcomes ({GG, GB, BG, BB}) to three outcomes ({GG, GB, BG}) by removing the outcome where both children are boys (BB). This reduction changes the denominator in the probability calculation from 4 to 3, directly impacting the final probability.
Conditions: Original sample space: {GG, GB, BG, BB}.; Conditioning event: At least one girl.
The conditioning event 'at least one girl' restricts the original sample space of four equally likely ordered outcomes ({GG, GB, BG, BB}) to three outcomes ({GG, GB, BG}) by removing the outcome where both children are boys (BB). This reduction changes the denominator in the probability calculation from 4 to 3, directly impacting the final probability.
Conditions: Original sample space: {GG, GB, BG, BB}.; Conditioning event: At least one girl.