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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Similar Questions

In how many ways can the letters of the word '$UNIVERSAL$' be arranged? In how many of these will $E, R, S$ always occur together?

The number of shortest paths from point $A$ to $D$ (as shown in the figure) is:

There are seven candidates for $3$ posts. In how many ways can the posts be filled?

If $^nC_r$ denotes the number of combinations of $n$ things taken $r$ at a time,then the expression $^nC_{r+1} + ^nC_{r-1} + 2 \times ^nC_r$ equals

The number of ways in which $6$ men and $5$ women can dine at a round table if no two women are to sit together is given by

Vedclass Test Series

Exam Paper Generator

Online Exam Module