Two players each flip a fair coin. The probability that they get the same result can be expressed as ab where a and b are coprime positive integers. What is the value of a+b?
the 4 possible outcomes are
HH
HT
TH
TT
so the prob (both have the same) = 1/4
you do the a and b stuff
Dont understand the a,b one TT
To find the probability that two players get the same result when flipping a fair coin, we need to consider the possible outcomes.
For each player, there are two possible outcomes when flipping a fair coin: either it lands on heads (H) or tails (T). Since each player flips a coin independently, we can construct a table to represent all the possible outcomes:
Player 1: H T
Player 2: H T
There are four possible outcomes: HH, HT, TH, and TT.
Out of these four outcomes, only two of them (HH and TT) result in both players getting the same result. Therefore, the probability of getting the same result is 2 out of 4, which can be simplified to 1/2.
So, a = 1 and b = 2. The sum a + b is 1 + 2 = 3.