Question

Problem 2. A coin results in head with probability 1/3. This coin is repeatedly flipped independently. Find the probability that at most five flips are necessary to find four flips that result in tails.

Answer 1

Answer:

Given,

To discover the likelihood that at most 5 flips are important to discover 4 flips that bring about tail.

So there would be least of 4 throws and limit of 5.

The potential results are as per the following

TTTT , TTTHT , TTHTT , THTTT , HTTTT

Where T speaks to tail and H head

So the likelihood is

= (2/3)^4 + (2/3)^4 + (1/3) + (2/3)^4 + (1/3) + (2/3)^4 + (1/3) + (2/3)^4 +(1/3)

= (2/3)^4 * (1 + 4/3)

= 0.20485