Question

Seniors at a certain high school took a survey regarding future plans. All plan to attend college some time; however, 78% plan to go to college immediately following high school. 17 percent of those that plan to attend college immediately following high school, plan to major in Math. 12 percent of those that do not plan to attend the college immediately following high school plan to major in Math.
What is the probability that a randomly chosen senior does not plan to attend college immediately following high school and plans to major in Math.

Answer 1

Answer: = 264/10000 = 0.0264 = 2.64%

Step-by-step explanation:

The probability that a randomly chosen senior does not plan to attend college immediately following high school and plans to major in Math =

Pa × Pb

Where Pa = The probability that a randomly chosen senior does not plan to attend college immediately

Pb = The probability that a randomly chosen senior who does not plan to attend college immediately following high school plans to major in Math

Pa = 100% - 78% = 22%

Pb = 12%

P = Pa × Pb

P = 22/100 × 12/100

P = 264/10000

P = 0.0264

P = 2.64%