The likelihood of selecting one girl is calculated as
. This is based on having 5 girls within a total of 12 students, and the probability of an event can be expressed as:
.
Using the same reasoning, for the next student, we have reduced the number of students by 1, leading to 11 possible outcomes instead of 12, giving us:
, which represents the probability of selecting a boy as the second choice.
Lastly, the probability of choosing a girl for the third selection follows the same logic and is given as:
.
However, we must combine these individual probabilities to determine the likelihood of this specific sequence of selections occurring:

This simplifies to:
