Question

a principal surveyed 200 seventh - grade students to find out whether they prefer to participate in fall sports or spring sports. this table shows the results. sports survey based on the table, what is the probability that a seventh - grade student chosen at random would prefer to participate in spring sports rather than fall sports? 37% 46% 54% 92%

Explanation:

Step1: Calculate the number of students who prefer spring sports

Add the number of boys and girls who prefer spring sports: \(37 + 55=92\)

Step2: Calculate the probability

The probability formula is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the total number of students is \(200\). So \(P = \frac{92}{200}\)
Convert the fraction to a percentage: \(\frac{92}{200}\times100\%=(92\div2)\% = 46\%\)

Answer:

B. \(46\%\)