Search any question & find its solution
Question:
Answered & Verified by Expert
A die is thrown repeatedly until a six comes up. What is the sample space for this experiment?
Solution:
2411 Upvotes
Verified Answer
Let $\mathrm{N}$ denote the event that 6 does not appear.
$\therefore \quad$ Sample space $=\{6,(1,6),(2,6),(3,6)$, $(4,6),(5,6),(1,1,6),(1,2,6),(1,3,6)$, $(1,4,6),(1,5,6),(2,1,6),(2,2,6), \ldots$. $(2,5,6) \ldots .(5,1,6)(5,2,6) \ldots .\}$.
$\therefore \quad$ Sample space $=\{6,(1,6),(2,6),(3,6)$, $(4,6),(5,6),(1,1,6),(1,2,6),(1,3,6)$, $(1,4,6),(1,5,6),(2,1,6),(2,2,6), \ldots$. $(2,5,6) \ldots .(5,1,6)(5,2,6) \ldots .\}$.
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.