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Suppose that the probability that a head appears when a
Chapter 5, Problem 62E(choose chapter or problem)
Problem 62E
Suppose that the probability that a head appears when a coin is tossed is p and the probability that a tail occurs is q = 1 − p. Person A tosses the coin until the first head appears and stops. Person B does likewise. The results obtained by persons A and B are assumed to be independent. What is the probability that A and B stop on exactly the same number toss?
Questions & Answers
QUESTION:
Problem 62E
Suppose that the probability that a head appears when a coin is tossed is p and the probability that a tail occurs is q = 1 − p. Person A tosses the coin until the first head appears and stops. Person B does likewise. The results obtained by persons A and B are assumed to be independent. What is the probability that A and B stop on exactly the same number toss?
ANSWER:
Solution:
Step 1 of 2:
It is given that in a experiment of tossing a coin, the probability of occurrence of head is p and probability of occurrence of tail is q=(1-p).
Two persons A and B tosses the coin until the toss results in first head.
Also, it is given that tosses of A and B are independent.
Using this we need to find the probability that both persons stops the experiment with exactly same number of trials.