MathDB
Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AIME Problems
1990 AIME Problems
9
Coin Probability (Yep, it's another one)
Coin Probability (Yep, it's another one)
Source:
February 25, 2006
probability
Problem Statement
A fair coin is to be tossed
10
10
10
times. Let
i
/
j
i/j
i
/
j
, in lowest terms, be the probability that heads never occur on consecutive tosses. Find
i
+
j
i+j
i
+
j
.
Back to Problems
View on AoPS