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 de

Question

3 years ago

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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 de

signed to keep tossing this coin until two successive tails are obtained. What is the probability that this experiment is completed after the 4th toss

Mathematics

1 answer:

Tasya [4] · Answer 1 · 2021-12-29T03:59:03+03:00

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