Rosalyn is a teacher who plays a review game with her class. The name involves writing each student's name on
an identical slip of paper and selecting students at random Here's the makeup of her class
10th 11th 19
Number of students
18
Suppose that Rosalyn wants 2 different students, so she ples 2 names without replacing names between picks
What is the probability that both students selected are 11th graders!
Round your answer to two decimal places.

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fichoh

Using the principle of probability, probability of selecting 2 students without replacement and being 11th graders is 0.230

The distribution of students :

  • 11th graders = 18
  • 10th graders = 19
  • Total number of students = 18 + 19 = 37

Recall :

  • Probability = required outcome / Total possible outcomes

Since, selection is done without replacement :

P(both are 11th graders) = (18/37) + (17/36) = 0.230

Therefore, the probability that the two selected students are 11th graders is 0.230

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