Mrs. Burke's biology class has 103 students, classified by academic year and major, as illustrated in the table. | Academic Year | Biology Majors | Non-Biology Majors | |---|---|---| | Freshmen | 15 | 11 | | Sophomores | 11 | 19 | | Juniors | 11 | 15 | | Seniors | 10 | 11 | Step 1 of 2: What is the probability that she selects a non-biology major, given that she chooses randomly from only the seniors? Enter a fraction or round your answer to 4 decimal places, if necessary.
Answer (1)
To solve this problem, we need to find the probability that Mrs. Burke selects a non-biology major given that she chooses randomly from only the seniors.
First, let's identify the number of seniors:
According to the given table, for seniors:
There are 10 biology majors.
There are 11 non-biology majors.
Next, calculate the total number of seniors, which is the sum of biology and non-biology majors among the seniors: Total Seniors = 10 + 11 = 21
Now, to find the probability that a randomly chosen senior is a non-biology major, we use the formula for probability: P ( Non-Biology Senior ) = Total Number of Seniors Number of Non-Biology Seniors
Substitute the values we have: P ( Non-Biology Senior ) = 21 11
The probability cannot be simplified further into a simpler fraction. Therefore, the probability is:
21 11
If a decimal answer is needed, you can calculate this by dividing 11 by 21, which gives approximately 0.5238 when rounded to four decimal places.
