A coin is tossed twice if the coin shows head it is tossed again but if it shows a tail then a die is tossed. If 8 possible outcomes are equally likely. Find the probability that the die shows a number greater than 4, if it is known that the first throw of the coin results in a tail  Choose the correct answer:
A) 2/4
B) 1/3
C) 2/3
D) 3/6
E) 1/4
Sample space S = { HH, HT, T1, T2, T3, T4, T5, T6 }   Let A be the event that the die shows a number greater than 4 and 1/3 be the event that the first throw of the coin results in a tail then,   A = { T5, T6 }   1/3 = { T1, T2, T3, T4, T5, T6 }   Required probability = ( 2/8)/(6/8)=1/3   ANSWER:1/3
<result>B</result>
A coin is tossed twice if the coin shows head it is tossed again but if it shows a tail then a die is tossed. If 8 possible outcomes are equally likely. Find the probability that the die shows a number greater than 4, if it is known that the first throw of the coin results in a tail