How many possible outcomes are there when 10 coins are tossed together?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 1024
Each coin can fall in 2 ways (head or tail), and the coins fall independently, so the number of outcomes for \(n\) coins is \(2^n\).
Outcomes \(=2^{10}\)
\(2^{10}=1024\)
Why the other options are incorrect
Option (1) 512 — Incorrect. This is \(2^9\), the count for 9 coins.
Option (2) 2048 — Incorrect. This is \(2^{11}\), the count for 11 coins.
Option (3) 1000 — Incorrect. This is \(10^3\); the count is 2 multiplied 10 times, not 10 multiplied 3 times.