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Suppose there is a coin and Jack wants to know the probability of getting heads when you flip it. However, he does not know anything about the coin except that it is either a fair coin or an unfair coin that is biased towards tails. Define a function that

Agreeable Alpaca answered on September 16, 2023 Popularity 3/10 Helpfulness 1/10

answer Suppose there is a coin and Jack wants to know the probability of getting heads when you flip it. However, he does not know anything about the coin except that it is either a fair coin or an unfair coin that is biased towards tails. Define a function that

Suppose there is a coin and Jack wants to know the probability of getting heads when you flip it. However, he does not know anything about the coin except that it is either a fair coin or an unfair coin that is biased towards tails. Define a function that

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def calculate_head_probability(prior_fair, p_heads_fair, p_heads_unfair):
    # Calculate the posterior probabilities using Bayes' theorem
    # P(Fair | H) = (P(H | Fair) * P(Fair)) / P(H)
    
    # Calculate the denominator P(H), which is the probability of getting heads
    # considering both the fair and unfair coin scenarios
    p_heads = (prior_fair * p_heads_fair) + ((1 - prior_fair) * p_heads_unfair)
    
    # Calculate the posterior probability of the coin being fair
    posterior_fair = (prior_fair * p_heads_fair) / p_heads
    
    return posterior_fair

# Given probabilities
prior_probability_fair = 0.5
probability_heads_fair = 0.5
probability_heads_unfair = 0.3

# Calculate the posterior probability of the coin being fair
posterior_probability = calculate_head_probability(prior_probability_fair, probability_heads_fair, probability_heads_unfair)

print("The posterior probability of the coin being fair is:", posterior_probability)

Popularity 3/10 Helpfulness 1/10 Language python

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Tags: coin-or either except flip function jack probability python when

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Contributed on Sep 16 2023

Agreeable Alpaca

0 Answers Avg Quality 2/10

Suppose there is a coin and Jack wants to know the probability of getting heads when you flip it. However, he does not know anything about the coin except that it is either a fair coin or an unfair coin that is biased towards tails. Define a function that

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Suppose there is a coin and Jack wants to know the probability of getting heads when you flip it. However, he does not know anything about the coin except that it is either a fair coin or an unfair coin that is biased towards tails. Define a function that

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