A die is thrown then find the probability of getting (i) an odd number (ii) a perfect square (iii) a number greater than 3

3. A die is thrown then find the probability of getting

(i) an odd number

(ii) a perfect square

(iii) a number greater than 3 

Sol. When A die is thrown

S = { 1, 2, 3, 4, 5, 6 }

n (S) = 6

(i) Let A be the event of getting an odd number

A = { 1, 3, 5 }

n (A) = 3

P (A) = n (A)/n (S)

∴  P (A) = 3/6

∴  P (A) = 1/2

(ii) Let B be the event of getting a perfect square

B = { 1, 4 }

n (B) = 2

P (B) = n (B)/n (S)

∴  P (B) = 2/6

∴  P (B) = 1/3

(iii)Let C be the event of getting a number greater than 3

C = { 4, 5, 6 }

n (C) = 3

P (C) = n (C)/n (S)

∴  P (C) = 3/6

∴ P (C) = 1/2