How Does [Probability Interview 7] Unfair coin 5 tosses (Facebook) Work?

Imagine you have a coin that doesn’t always land on heads or tails fairly, it's like a sneaky friend who sometimes lies to you.

You get to flip this coin 5 times, and your job is to guess the secret rule of how often it lands on heads. It’s kind of like playing a game where the coin has its own favorite side, and you have to figure out which one that is by watching it play 5 rounds.

The Coin's Secret

This unfair coin might favor heads more than tails, or maybe tails! Imagine it’s like a toy that sometimes rolls to one side when you push it. Each time you flip the coin, it acts like it's choosing between two options: heads or tails. But instead of being completely random, it has a little bias.

You’re not just flipping, you're doing detective work. You count how many times it lands on each side out of 5 tries. That gives you a clue about what the coin prefers, and that’s how you solve this fun puzzle! Imagine you have a coin that doesn’t always land on heads or tails fairly, it's like a sneaky friend who sometimes lies to you.

You get to flip this coin 5 times, and your job is to guess the secret rule of how often it lands on heads. It’s kind of like playing a game where the coin has its own favorite side, and you have to figure out which one that is by watching it play 5 rounds.

Take the quiz →

Examples

  1. A coin that lands heads 80% of the time is tossed five times, what's the chance it lands tails twice?
  2. Imagine flipping a tricky coin with a 70% chance of landing heads, and you want to know how likely it is to get three heads in five flips.
  3. If you have an unfair coin that favors one side, how can you use five tosses to determine which side it prefers?

Ask a question

See also

Discussion

Recent activity