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detrmine whether these evnts are mutaully exclusive.. a. roll a die: get an even

ID: 2918904 • Letter: D

Question

detrmine whether these evnts are mutaully exclusive.. a. roll a die: get an even number, and get a number les than3 b. roll a die: get a prime number (2,3,5) and get an oddnumber c. roll a die: get a number greater than 3 nand get a numberless than 3 d. select a student in your class: the student has blond hairand blue eyes e. select a student in your college: the student is a sophmoreand th studernt is a business major f. select any course: it is calculus and it is an englishcourse g. select a registered voter : the voter is arepublican, and the voter is a democrat. detrmine whether these evnts are mutaully exclusive.. a. roll a die: get an even number, and get a number les than3 b. roll a die: get a prime number (2,3,5) and get an oddnumber c. roll a die: get a number greater than 3 nand get a numberless than 3 d. select a student in your class: the student has blond hairand blue eyes e. select a student in your college: the student is a sophmoreand th studernt is a business major f. select any course: it is calculus and it is an englishcourse g. select a registered voter : the voter is arepublican, and the voter is a democrat.

Explanation / Answer

"two events are mutually exclusive if theycannot occur at the same time (i.e., they have no common outcomes).The best example is tossing a coin, which can result in eitherheads or tails, but not both. Both outcomes can't happensimultaneously." This means that: a) Not mutually exclusive, because 2 is even and less than 3 b) Not mutually exlcusive, because 3 and 5 are both prime andodd c) mutually exclusive, because you can't get a number smaller andgreater then 3 at the same time. Offcourse it is possible to throw2 times and throw 1 times smaller and 1 times bigger then 3. d) not mutually exclusive, because it is possibile to select ablond student who has blue eyes. e) I do not know what sophmore means ... Internet says that it is a second years student, so it could bepossible. This means that it is not mutually exclusive f) mutually exclusive, a course is only one subject or it is acourse in some country were they do not speak english (my country)and the course is given in english. Then it is not mutuallyexclusive g) mutually exclusive, because you can vote only one time