There are 30 students in Rakim’s math class. The teacher randomly selects students one at a time to go to the board to complete a problem. The teacher selects each student once. Rakim is not selected for the first 5 problems. What is the probability that Rakim is selected to go to the board next?
Question
There are 30 students in Rakim’s math class. The teacher randomly selects students one at a time to go to the board to complete a problem. The teacher selects each student once. Rakim is not selected for the first 5 problems. What is the probability that Rakim is selected to go to the board next?
Solution
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes.
In this case, the favorable outcome is Rakim being selected to go to the board. Since each student is selected once, and 5 students have already been selected, there are 25 students left, including Rakim.
So, the total number of outcomes is 25 (the remaining students), and the number of favorable outcomes is 1 (Rakim being selected).
Therefore, the probability of Rakim being selected next is 1/25.
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