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.
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NOT POSSIBLE as we do know the experiment
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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
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