Which of the following arguments are correct and which are not correct? Give reasons for your answer.
(i) If two coins are tossed simultaneously there are three possible outcomes— two heads, two tails or one of Therefore, for each of these outcomes, the probability is 1/3
Solution:
When two coins are tossed, the possible outcomes are:
- HH (Head-Head)
- HT (Head-Tail)
- TH (Tail-Head)
- TT (Tail-Tail)
Thus, there are 4 possible outcomes, not 3. The probability of any specific outcome is:
1/4
Therefore, the statement that the probability of each outcome is 1/3 is incorrect.