SOLUTION: If we toss two fair coins simultaneously what is the probability of getting exactly one Head?

Algebra.Com
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

RELATED QUESTIONS

(a) If we roll two fair dice, what is the probability that a total of nine shows? (b) if (answered by checkley71)
if we tossed two coins what are the probability of getting atleast one... (answered by Edwin McCravy)
What is the probability of getting exactly 7 heads if you toss 10... (answered by edjones)
In toasting three fair coins at once. what is the probability of getting 1. at most two... (answered by Fombitz)
Toss a 4 coins 15 times and write your outcomes, what will be the probability of getting (answered by ewatrrr)
Toss a fair coin TWICE. What is the probability of obtaining at least ONE... (answered by NerdvanaGirl)
suppose a fair coin is tossed twice. Find the probability of getting exactly one head... (answered by solver91311)
If you toss a fair coin 11 times, what is the probability of getting all heads? (answered by stanbon)
What is the Probability of obtaining at least one head when 4 coins are tossed... (answered by Theo)