A fair coin is tossed once. If it shows head, then 2 fair dice are thrown simultaneously otherwise 3 fair dice are thrown simultaneously. The…

Question

A fair coin is tossed once. If it shows head, then 2 fair dice are thrown simultaneously otherwise 3 fair dice are thrown simultaneously. The probability that all the dice show different numbers is k, then 180k is equal to

MARKS Content Team · Accepted Answer

Correct answer: 125. H→a fair coin shows head T→a fair coin shows tail A→2 fair dice show unequal numbers B→3 fair dice show unequal numbers Probability if all dice shows unequal number =PH.PA/H+PTPB/T =1/2×(6×5)/(6×6)+1/2×(6×5×4)/(6×6×6) =5/12+5/8=(15+10)/36=25/36

A fair coin is tossed once. If it shows head, then $2$ fair dice are thrown simultaneously otherwise $3$ fair dice are thrown simultaneously. The probability that all the dice show different numbers is $k$ , then $180 k$ is equal to

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