Answer:
The correct option is d) 0.0253
Step-by-step explanation:
Consider the provided information.
When two events, X and Y, are dependent, then the probability of both occurring is: 
All plan to attend college some time; however, 77% plan to go to college immediately following high school.
Let X represents the Plan to go to college.
P(X) = 0.77
P(X') = 1 - 0.77 = 0.23
Of those who plan to attend college immediately following high school, 18% plan to major in Math. Of those who do not plan to attend college immediately following high school, 11% plan to major in Math.
Let Y represents Major in Math.
P(Y|X) = 0.18 and P(Y|X') = 0.11
Therefore the required probability is:

Hence, the correct option is d) 0.0253