Question

Two fair coins are tossed. Explain what the theoretical probability is of exactly one of the coins landing heads up.

Answer 1

whats the sample space when you toss two coins ?

Answer 2

H ,H
H, T
T, H
T , T

Answer 3

^^

Answer 4

So there are a total of 4 outcomes in the sample space.
How many outcomes has exactly one H ?

Answer 5

How many times/time head up occur exactly one time

Answer 6

To check your understanding, the probability of getting exactly one head and the probability of getting at least 1 head is different.

Answer 7

See there are only these cases possible
Both the coins have heads up
1st coin has heads up , second has tails
2nd coin has heads up , first has tails
Both the coins have tails up

So,
the Question is asking you how many times exactly one time any of the coins have heads up !

Answer 8

I tend to go at things bassackward, so I always think of this problem as being 1 - the probability of two head - provability of two tails. In other words, you exactly on head when it is not two head and not two tails. You can always take what it is not away from 1 to get what it is.

Answer 9

By the way, @Oliversheen,
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