Which of the following arguments are correct and which are not correct? Give reasons for your Solution:.
(i) If two coins are tossed simultaneously there are three possible outcomes—two heads, two tails or one of each. Therefore, for each of these outcomes, the probability is 1/3
(ii) If a die is thrown, there are two possible outcomes—an odd number or an even number. Therefore, the probability of getting an odd number is 1/2

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Detailed Solution

(i) Here, all the possible events are (H, H); (H, T); (T, H), and (T, T)

We know that, P(E) = (Number of favorable outcomes/ Total number of outcomes)

So, P (getting two heads) = 1/4

and, P (getting one of each) = 2/4 = 1/2

Therefore, the given statement is incorrect.

(ii) This is true since the probability of both events is equal.

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