Finding Probabilities of Compound Events Mr. Garcia has 15 boys and 10 girls in his math class. He selects two

Question

Finding Probabilities of Compound Events
Mr. Garcia has 15 boys and 10 girls in his math class. He selects two students at random to demonstrate how they solved the day’s challenge assignment. What is the probability that both students are girls?

GPT-5 mini · Answer

There are 25 students total (15 boys, 10 girls). Selecting two without replacement:

Method 1 (sequential): P(first is a girl) = 10/25. Given that, P(second is a girl) = 9/24. So
P(both girls) = (10/25)·(9/24) = 90/600 = 3/20 = 0.15 = 15%.

Method 2 (combinations): C(10,2)/C(25,2) = 45/300 = 3/20.

Answer: 3/20 (15%).

Finding Probabilities of Compound Events
Mr. Garcia has 15 boys and 10 girls in his math class. He selects two students at random to demonstrate how they solved the day’s challenge assignment. What is the probability that both students are girls?

All Answers 1

Submit Your Answer

Finding Probabilities of Compound Events Mr. Garcia has 15 boys and 10 girls in his math class. He selects two students at random to demonstrate how they solved the day’s challenge assignment. What is the probability that both students are girls?

All Answers 1

Submit Your Answer

Finding Probabilities of Compound Events
Mr. Garcia has 15 boys and 10 girls in his math class. He selects two students at random to demonstrate how they solved the day’s challenge assignment. What is the probability that both students are girls?