A biased coin is tossed until the same result appears three times in a row (i.e., three heads or three tails in succession). Let p denote the probability the coin comes up heads, 0 < p < 1. Find the probability that the game will end at the seventh toss. The tosses are independent.   The biased coin from problem 1 is tossed until a head appears for the first time. What is the probability that the number of tosses required is even?   attention it is a biased so I think p not equal 0.5 right? for question 1 I think it is P=0.5 follows Geometric distribution and final answer is 0.0078125   but I do not consider it is a biased coin so what should I do could you answer these two question for me?   Thank you so much

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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A biased coin is tossed until the same result appears three times in a row (i.e., three heads or three tails in succession). Let p denote the probability the coin comes up heads, 0 < p < 1. Find the probability that the game will end at the seventh toss. The tosses are independent.

 

The biased coin from problem 1 is tossed until a head appears for the first time. What is the probability that the number of tosses required is even?

 

attention it is a biased so I think p not equal 0.5 right? for question 1 I think it is

P=0.5 follows Geometric distribution and final answer is 0.0078125

 

but I do not consider it is a biased coin so what should I do could you answer these two question for me?

 

Thank you so much

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