A rectangular seating chart has an area of 10in by 14in. There are 2in by in squares with students' names on it. What is the probability that a student is chosen to answer a question once but is not selected the second time?

Question

Mathematics

Angelique Randolph

11 March, 12:57

A rectangular seating chart has an area of 10in by 14in. There are 2in by in squares with students' names on it. What is the probability that a student is chosen to answer a question once but is not selected the second time?

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Rhianna Galvan · Answer 1

The total area of the rectangular seating chart is 10in * 14in=140 in squared.

The area of one square of dimensions 2 in by 2 in is 4 in squared.

Thus, there are a total of 140/4=35 squares, which means 35 student names on the seating chart.

The probability of choosing a certain student the first time is 1/35=0.029.

The probability that that particular student is not chosen is 34/35=0.97.

Thus, the probability that the student is chosen the first time, and not chosen the second time is 0.029*0.97=0.028.

Answer: 0.028