Q.Consider the experiment of tossing a coin. If the coin shows tail, toss it again but if it shows head, then throw a die. Find the conditional probability of the event that ‘the die shows a number greater than 3’ given that ‘there is at least one head’.
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head and 4 probability= (1/2)×(1/6)
H and 5 probability= (1/2)×(1/6)H and 6 probability= (1/2)×(1/6)favorable probability = 1/4Atleast 1 H probability= (1/2)+(1/4)=3/4Hence by conditional probability = (1/4)/(3/4)=1/3
H and 5 probability= (1/2)×(1/6)H and 6 probability= (1/2)×(1/6)favorable probability = 1/4Atleast 1 H probability= (1/2)+(1/4)=3/4Hence by conditional probability = (1/4)/(3/4)=1/3
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