Question

A coin is tossed and a die is thrown. Write down the probability of obtaining:
a) a 'head' on the coin,
b) an odd number on the die,
c) a 'head' on the coin and an odd number on the die. ​

Answer 1

Answer:

(a) 0.5

(b) 0.5

(c) 0.25

Step-by-step explanation:

Let S be the event of tossing a coin and throwing a die.

S = {(H,1) , (H, 2) , (H,3) , (H,4), (H,5) , (H,6) ,(T,1) , (T,2) , (T,3) , (T ,4), (T,5) , (T,6) }

Total no. of outcomes = 12

(a) Let A be the event of getting a 'head' on the coin.

A = {(H,1) , (H, 2) , (H,3) , (H,4), (H,5) , (H,6)}

no. of favourable outcomes = 6

P(A) = 6/12 = 1/2 = 0.5

(b) Let B be the event of getting an odd number on the die.

B = {(H,1) , (H,3),(H,5) ,(T,1) ,(T,3) , (T,5) }

no. of favourable outcomes = 6

P(B) = 6/12 = 1/2 = 0.5

(c) Let C be the event of getting a 'head' on the coin and an odd number on the die.

C = {(H,1) , (H,3), (H,5)}

no. of favourable outcomes = 3

P(C) = 3/12 = 1/4 = 0.25