The probability that a first year student entering a certain private college needs neither a developmental math course nor a developmental English is 61% while 21% require a developmental math course and 37% require a developmental English course. Find the probability that a first year student requires both a development math course and a developmental English course.

7.77%

Step-by-step explanation:

When dealing with calculating a sequence of probabilities for an specific event such as this one you simply need to multiply the seperate probabilities of each part of the event happening together. Which in this case would be 21% and 37%. We first need to convert these percentages into decimal form by dividing each of them by 100. Once we have the decimal form we multiply them together to find the answer.

21% / 100 = 0.21

37% / 100 = 0.37

0.21 * 0.37 = 0.0777   ... multiply by 100 to get percent form

0.0777 * 100 = 7.77%

Finally, we can see that the probability that a first-year student requires both a developmental math course and a developmental English course is 7.77%