Question 760488: If we toss two fair coins simultaneously what is the probability of getting exactly one Head?
Answer by ramkikk66(644) (Show Source):
You can put this solution on YOUR website! If we toss 2 coins simultaneously, the possible outcomes are as follows.
(where H = heads, T = tails)
If Coin1 shows Heads and Coin2 shows Heads, let us represent it as (H,H)
If Coin1 shows Heads and Coin2 shows Tails, let us represent it as (H,T)
Thus, we have the following combinations:
(H,H) (T,T), (H,T), (T,H) - exactly 4 possible results.
From the above, you can see that exactly 2 of the 4 outcomes have "exactly one head" i.e. (H,T) and (T,H)
As you know, probability is defined as
In this case, getting "exactly one head" is the favourable outcome.
Hence the probability of getting exactly one head is 
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