There are two coins, one is fair and one is biased. the biased coin has a probability of landing on heads equal to 4/5. one of the coins is chosen at random (50-50), and is flipped repeatedly until it lands on tail. if it landed on heads 4 times before landing on tails, what is the posterior probability that coin chosen was biased?

The probability that the coin chosen was biased is 61.53%.

Since there are two coins, one is fair and one is biased, and the biased coin has a probability of landing on heads equal to 4/5, and one of the coins is chosen at random (50-50), and is flipped repeatedly until it lands on tail, to determine, if it landed on heads 4 times before landing on tails, what is the posterior probability that coin chosen was biased, the following calculation must be performed:

Therefore, the probability that the coin chosen was biased is 61.53%.

Learn more in link

72.4%

Step-by-step explanation:

The probability of A occurring given that B occurs = the probability of both A and B / the probability of B

P(A|B) = P(A∩B) / P(B)

This can be rearranged as:

P(A∩B) = P(B) P(A|B)

In this case:

A = biased coin is chosen

~A = fair coin is chosen

B = 4 heads then 1 tail

First, let's find P(A∩B).

P(A∩B) = P(B) P(A|B)

P(A∩B) = ½ × ₅C₄ (⅘)⁴ (⅕)¹

P(A∩B) = 0.2048

Next, find P(~A∩B).

P(~A∩B) = P(B) P(~A|B)

P(~A∩B) = ½ × ₅C₄ (½)⁴ (½)¹

P(~A∩B) = 0.078125

Therefore, the probability that the coin is biased is:

P = P(A∩B) / (P(A∩B) + P(~A∩B))

P = 0.2048 / (0.2048 + 0.078125)

P = 0.723866749

The probability is approximately 72.4%.

drive more conversions to your website

conversions are the outcome of your efforts. when a visitor sign up for any newspaper, or fill any form to order a specific product or when your page is shared on social media, all such attempts mean conversions of a website. whenever your desired action is fulfilled, the conversion rate of your website will increase. this increase in your conversion rate will prove that your website is   going well. it also confirms that the quality of your website’s marketing was really good.drive more conversion to your website       drive more conversions to your website

step-by-step explanation:

ok so the answer to your question is simple as long as you look at the different dimensions that contain the exemplary letters that combined in the right order give you words that eventually within the 5th dimension will conform and give you the correct answer to your question. hope i , stop looking at this easily, look at it with a spectral view.

step-by-step explanation:

told you