Question

Ram is about to toss 2 fair coins. If he is asked to find the probability that there is at least 1 head, list the favourable outcomes.

• A. (H, H) (H, T)
• B. (H, T) (T, H)
• C. (H, H) (H, T) (T, H)
• D. (T, T) (H, T) (T, H)

Answer 1

The correct option is C

(H, H) (H, T) (T, H)

Sample space = {(T, T), (H, T), (T, H), (H, H)}
'At least 1' means any number greater than or equal to one. Hence the outcomes in which there is one head and 2 heads both have to be considered.
There will be 2 outcomes with exactly one head. This is because this one head can occur in any one of the 2 coins. But there will be only one outcome with 2 heads.
$\therefore$ Favorable outcomes are: {(T, T) (H, T) (T, H)}