A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 198 like rock, 152 like country, and 113 like jazz. Moreover, 21 like rock and country, 22 like rock and jazz, 16 like country and jazz, and 5 like all three types of music. What is the probability that a radomly selected student likes jazz or country but not rock?

The probability that a randomly selected student likes jazz or country but not rock is 0.422.

Step-by-step explanation:

The information provided is:

Total number of students selected, N = 500.

The number of students who like rock, n (R) = 198.

The number of students who like country, n (C) = 152.

The number of students who like jazz, n (J) = 113.

The number of students who like rock and country, n (R ∩ C) = 21.

The number of students who like rock and Jazz, n (R ∩ J) = 22.

The number of students who like country and jazz, n (C ∩ J) = 16.

The number of students who like all three, n (R ∩ C ∩ J) = 5.

Consider the Venn diagram below.

Compute the probability that a randomly selected student likes jazz or country but not rock as follows:

P (J ∪ C ∪ not R) = P (Only J) + P (Only C) + P (Only J ∩ C)

Thus, the probability that a randomly selected student likes jazz or country but not rock is 0.422.

the answer will be b x² +x-1

step-by-step explanation:

steve should create a type of business report called a business plan. the correct option among the options that are already given in the question is the last or the fourth option. this business report created by steve will actually influence the investors about investing their money in steve's business. this business report will have all the details about the business, the amount of investment required and the amount of expected profit.