Question

10 girls...and 8 boys... teacher picks 3....probability of teacher picking all 3 girls?

Answer 1

Answer:

There is a 14.71% probability of teacher picking all 3 girls.

Step-by-step explanation:

Initially, there are 18 students, of which 10 are girls. So there is a 10/18 = 5/9 probability that the first student chosen is a girl.

Now, since the first student chosen was a girl, there are 17 students, of which 9 are girls. So there is a 9/17 of the second student chosen being a girl.

Both students picked were girls. Now there are 16 students, of which 8 are girls. So there is a 8/16 = 1/2 probability of the third student chosen in this situation being a girl.

Probability of teacher picking all 3 girls?

We multiply these probabilities:

$P = \frac{5}{9}*\frac{9}{17}*\frac{1}{2} = 0.1471$

There is a 14.71% probability of teacher picking all 3 girls.