There are 5 boy and 5 girls in the class. The teacher call a boy first a girl second and a girl third. Find the probability occurring

Question

5boys,5girls teacher calls 1boy and 2girls in a row

Answer 1

The question isn't explicit, but it looks like we are sampling without replacement, so every time you call on someone, you don't call on that person again. That means the first boy has a probability of:

5 / 10

The girl will be 5 / 9          because we're one person short

The second girl is now 4 / 8         Because we're short one girl AND another person.

Multiply all of them, since any consecutive events multiply their probabilities...

(5/10) * (5/9) * (4 / 8) = 5 / 36

Ta-da!