Question

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

Answer 1

Answer:

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