Question

A dice is thrown four times. Among all possible outcomes, how many have at least one occurrence of 6?

• A. 851
• B. 760
• C. 671
• D. 564

Answer 1

The correct option is C 671

A die has six outcomes.
$\therefore \text{Total number of outcomes when a die is thrown four times}=6^4$
= 1296
Number of outcomes for not getting a single $6=5^4=625$
$\therefore \text{Number of outcomes when 6 occurs at least once}=1296–625$
= 671
Hence, the correct answer is option (c).