# Unfair Coin Probability Problem

## FAQs for Unfair Coin Probability Problem

#### What is the probability of having an unfair coin?

The probability of having the unfair coin is 1 3. The probability of having a fair coin and tossing heads twice in a row is 2 3 ⋅ 1 4 = 1 6. If you know that you’ve tossed heads twice in a row, then you know that you’re in one of these two cases; the probability that you’re in the first case (have the unfair coin) is

#### How do you know if a coin is fair or unfair?

The rest are fair coins. So if three or unfair, the rest are eight coins. When this problem says that they are fair coins, it means that they have a 50/50 chance of coming up either heads or tails. You randomly choose one coin from the bag and flip it two times. What is the percent probability of getting two heads?

#### How do you find the probability of a coin landing on heads?

First, with your unfair coin, the probability of the coin landing on heads is P (H) = 2*P (T), (that is, 2 times the probability of landing on tails). Recall, the probabilities of exhausitve and mutually exclusive events must add to 1. So, P (H) + P (T) = 1, but P (H) = 2*P (T), so P (H) + P (T) = 2*P (T) + P (T) but this = 1.

#### What are the 4 possible outcomes of the coin picking problem?

Since in this problem the probability of picking your second coin depends on the first coin you picked, you use a 2 branch tree to pick your first coin, and then on each branch is another 2 branch tree. This leads to 4 possible outcomes: (Fair, Fair), (Fair, Unfair), (Unfair, Fair), (Unfair, Unfair).

### bayesian - Probability of choosing an unfair coin

Topic: unfair coin WebProblem statement: There are 1000 coins. 999 coins have heads and tails. 1 coin is unfair and both sides are heads. You choose a coin at random and toss it 10 times. ... You can’t say that the probability of choosing the unfair coin is $frac{1}{1000}$ because a fair …

### Probability Problem(unfair coin) - Mathematics Stack … WebAug 16, 2021 · Probability Problem (unfair coin) Asked 1 year, 8 months ago. Modified 1 year, 8 months ago. Viewed 963 times. 2. Suppose we have an unfair coin with a

### unfair coin flip probability calculation - Cross Validated WebOct 5, 2016 · unfair coin flip probability calculation. Ask Question. Asked 6 years, 7 months ago. Modified 4 years, 6 months ago. Viewed 7k times. 1. Suppose I have an unfair coin, …

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### Probability Puzzle #1: The Unfair Coin - Santa Fe WebProbability Puzzle #1: The Unfair Coin Problem Description Summary Using an unfair coin, and without knowing the actual probabilities of the coin landing heads-up or tails-up, is it …

### Unfair Coin Problem. How to build an unfair coin from a …

Topic: WebAug 9, 2021 · You can easily do that by flipping the fair coin twice. Report success ( 1) if you get 2 Heads, and report failure ( 0) otherwise. In a slightly more complex scenario, …

### Probability Problem (unfair coin) | Physics Forums WebSep 15, 2006 · First, with your unfair coin, the probability of the coin landing on heads is P (H) = 2*P (T), (that is, 2 times the probability of landing on tails). Recall, the …

### Dependent probability: coins (video) | Khan Academy WebMay 23, 2011 · Well in this unfair coin, it has a 60% chance of coming up heads. So it will be equal to 0.6 times 0.6, which is 0.36. If you have an unfair coin-- if you know for a fact that you have an unfair …

### 🎲Unfair Coin Toss problem ! ! ! ! ! - YouTube

Topic: Unfair Coin WebMar 11, 2017 · 🎲Unfair Coin Toss problem ! ! ! ! ! 7,530 views Mar 10, 2017 PROBABILITY & STATISTICS PLAYLIST: https://goo.gl/2z3jX6 ...more ...more 15 Dislike Share Save MathCabin.com Math Tutoring...

### What is a Fair and Unfair coin? - GeeksforGeeks

Topic: unfair coin WebDec 30, 2021 · Thus unfair coin can have two cases of Probability, Case 1: When both the outputs are Heads Probability of Heads while tossing of a coin, = Number of Heads on …

### Checking whether a coin is fair - Wikipedia

Topic: WebThe probability for an unbiased coin (defined for this purpose as one whose probability of coming down heads is somewhere between 45% and 55%) is small when compared with …

### Probability distribution, unfair coin - Cross Validated

Topic: unfair coin WebSep 25, 2014 · An unfair coin which has 0.35 probability to result head is tossed four times. Build and represent graphically the probability distribution and the cumulative …

### Coin Flip Probability Calculator WebFeb 19, 2023 · To calculate the probability of 8 heads in 10 tosses: Recall the formula for the probability of exactly k heads in n tosses: P (X=k) = (n choose k)/2n. Thus, the …

### Art of Problem Solving

Topic: unfair coin WebProblem An unfair coin has probability of coming up heads on a single toss. Let be the probability that, in independent toss of this coin, heads come up exactly times. If , then …

### "At least one" probability with coin flipping - Khan Academy

Topic: WebA coin has a 50% chance of landing on heads the each time it is thrown. For the first coin toss, the odds of landing heads is 50%. On the second coin toss, take the 50% from the …

### Solved Problem 4 Suppose we have an unfair coin with a - Chegg

Topic: unfair coin WebProblem 4 Suppose we have an unfair coin with a probability of 0.6 of obtaining a heads on any given toss. As is typical for coin toss problems, assume each coin toss is …

### Solved Suppose we have an unfair coin with a probability of - Chegg

Topic: unfair coin WebSuppose we have an unfair coin with a probability of 0.6 of obtaining a heads on any given toss. As is typical for coin toss problems, assume each coin toss is independent. Part …
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