There is a coin that is so constructed such that it has a 60% chance of landing on heads after a toss. A random experiment is designed to keep tossing this coin until two successive tails are obtained. What is the probability that this experiment is completed after the 4th toss

Probability P (completing experiment after 4 tosses) = 0.096

Step-by-step explanation:

There are two possibilities:2Heads, 2Tails, 3T1H

Given: probability of getting a head = 0.6

Probability of getting a tail=1 - 0.6=0.4

2H2T = 2 (0.6) * 2 (0.4) = 0.0576

3T1H = 3 (0.4) * 0.6 = 0.0384

Probability (experiment will be completed at the 4th toss) = 0.0576 * 0.0384 = 0.096