When a die is thrown, all the possible outcomes are: 1, 2, 3, 4, 5, 6

Total number of outcomes = 6

(i) Let E be the event of getting an even number

Then, the favourable outcomes are: 2, 4, 6

Number of favourable outcomes = 3

∴ P (getting exactly one head) = P(E) = 3/6 = 1/2 or 50%

(ii) Let E be the event of getting a number less than 5

Then, the favourable outcomes are: 1, 2, 3, 4

Number of favourable outcomes =4

∴ P (getting number less than 5) =P (E) =4/6=2/3 or about 66.67%

(iii) Let E be the event of getting a number greater than 2

Then, the favourable outcomes are: 3, 4, 5, 6

Number of favourable outcomes are =4

∴ P (getting number greater than 2) = P (E) =4/6= 2/3 or 66.67%

(iv) Let E be the event of getting number between 3 and 6

Then, the favourable outcomes are: 4, 5,

Number of outcomes are = 2

∴ P (getting number between 3 and 6) = P (E) = 2/6 =1/3 or 33%

(v) Let A be the event of getting number other than 3

Then, the favourable outcomes are: 1, 2, 4, 5, 6

Number of outcomes are = 5

∴ P (getting number other than 3) = P (E) =5/6 or 83.33%

(vi) Let E be the event of getting number 5

Then, the favourable outcome is: 1

∴ P (getting exactly number 5) = P (E) = 1/6 or 16.67%