- #1
chapone
- 3
- 0
Hello all,
I am working on this problem, have searched my textbook, this forum, etc and am still as lost. I suspect I need to (in some form) use the formula P(AB)/P(B) = P(A) as it is the integral formula of this section. Any suggestions or hints are greatly appreciated.
A fair coin is tossed until a head is obtained for the first time. If this experiment is performed 3 times, what is the probability that exactly the same number of tosses will be required for each of the 3 performances?
Note: the answer is 1/7
My work thus far:
I know n-1 tails must be obtained in each performance
Events:
Ai = a head is obtained on the ith trial
Bi = " " tail " "
P(Ai) = 0.5
P(Bi) = 0.5
I am working on this problem, have searched my textbook, this forum, etc and am still as lost. I suspect I need to (in some form) use the formula P(AB)/P(B) = P(A) as it is the integral formula of this section. Any suggestions or hints are greatly appreciated.
A fair coin is tossed until a head is obtained for the first time. If this experiment is performed 3 times, what is the probability that exactly the same number of tosses will be required for each of the 3 performances?
Note: the answer is 1/7
My work thus far:
I know n-1 tails must be obtained in each performance
Events:
Ai = a head is obtained on the ith trial
Bi = " " tail " "
P(Ai) = 0.5
P(Bi) = 0.5