Question

There are 14 girls and 7 boys in math class. The teacher puts the student names in a hat and randomly picks a name. Then without replacing the name, the teacher draws another name. What is the probability both students chosen are boys

Answer 1

10%

Explanation:

The probability of the first name drawn being a boy is 7/21 (since there are 7 boys out of 21 students total).

Since the teacher does not replace the name back in the hat, there are now only 6 boys left out of 20 students remaining.

Therefore, the probability of the second name drawn also being a boy is 6/20.

To find the probability of both events happening together, we multiply the probabilities:

P(both students are boys) = (7/21) * (6/20) = 0.1 or 10%.

Therefore, the probability that both students chosen are boys is 10%.