Four dice (six-faced) are rolled. The number | vedclass

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(C) The total number of outcomes when $4$ dice are rolled is $6^4 = 1296$.To find the number of outcomes where at least one die shows $2$,we subtract

Vedclass · Accepted Answer

$671$

Vedclass · Answer

(C) The total number of outcomes when $4$ dice are rolled is $6^4 = 1296$.To find the number of outcomes where at least one die shows $2$,we subtract the number of outcomes where $2$ does not appear on any die from the total number of outcomes.If $2$ does not appear on any die,each die can show any of the remaining $5$ faces $(1, 3, 4, 5, 6)$.Thus,the number of outcomes where $2$ does not appear is $5^4 = 625$.Therefore,the number of outcomes with at least one $2$ is $1296 - 625 = 671$.

Four dice (six-faced) are rolled. The number of possible outcomes in which at least one die shows $2$ is

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