Question

consider a random experiment in which a coin is tossed and if the coin shows head it is tossed again but if 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 of it is known that the first throw of the coin result in a tail.​

Answer 1

NOT POSSIBLE as we do know the experiment

Answer 2

consider a random experiment in which a coin is tossed and if the coin shows head it is tossed again but if 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 of it is known that the first throw of the coin result in a tail.

as it is known that first throw of coin results in tail so

we need to just find probability of dice showing a number greater than 4

dice has 6 numbers

1 to 6

5 , 6 are greater than 4

probability = 2/6 = 1/3

if it is not known that first throw is tail then probability

= probability of tail × probability of dice showing greater than 4

= (1/2) × (2/6)

= 1/6