Can you calculate the probability of getting one head and one tail? [Page No. 169]
When two coins are tossed, the sample space is with four equally likely outcomes.
'One head and one tail' happens in two of these: (first coin head, second tail) and (first coin tail, second head).
Both show exactly one head and one tail, so there are favourable outcomes out of .
| Outcome | Description |
|---|---|
| HH | two heads |
| HT | one head and one tail (favourable) |
| TH | one head and one tail (favourable) |
| TT | two tails |
Therefore
A common slip is to think there is only one way to get 'a head and a tail'. But HT and TH are different outcomes, they differ in which coin shows the head even though both have one head and one tail. That is why the probability is , not .