Question

Malik is a teacher who plays a review game with his class. the game involves writing each student's name on an identical slip of paper and selecting students at random. here's the makeup of his class: grade 10th, 11th, 12th, number of students 6, 14, 5. suppose that malik picks a name, replaces it, and picks a name again. what is the probability that both students selected are 12th graders?

Answer 1

To find the probability that both students selected are 12th graders, we need to first find the total number of possible pairs of students that can be selected. There are a total of 25 students in the class, so there are 25*24 = 600 possible pairs of students.

Next, we need to find the number of pairs of 12th graders. There are 5 12th graders in the class, so there are 5*4 = 20 pairs of 12th graders.

Finally, we divide the number of pairs of 12th graders by the total number of possible pairs of students to find the probability. The probability that both students selected are 12th graders is 20/600 = 1/30.

Explanation: