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There are 110 seniors going, and 30 aren't going to the football game, and 90 juniors are going, and 50 aren't going. What is the probability that the randomly selected student is a junior and is attending the game?

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Final answer:

To determine the probability that a randomly selected student is a junior and is attending the football game, divide the number of juniors attending (90) by the total number of students (280), resulting in a probability of approximately 32.14%.

Step-by-step explanation:

To solve the probability question presented, we must first understand the total number of students and determine the specific group of interest. In this case, we're interested in the probability that a randomly selected student is a junior and is attending the game. We are given that there are 90 juniors going to the game and we are not provided with a total number of students; however, for simplicity let's assume that the question intended to ask for the probability within the given context of seniors and juniors attending or not attending the game.



The total number of students therefore is:


  • Seniors Going: 110

  • Seniors Not Going: 30

  • Juniors Going: 90

  • Juniors Not Going: 50



Summing these groups provides the total number of students:

Total = 110 + 30 + 90 + 50 = 280


To find the probability that a randomly selected student is a junior attending the game, divide the number of juniors attending by the total number of students:


Probability = Number of Juniors Attending / Total Number of Students

Probability = 90 / 280

Probability = 0.3214 (rounded to four decimal places)

The probability that a randomly chosen student is a junior and is attending the game is approximately 32.14%.

User Sandra K
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