A coin is tossed. What are all possible outcomes?

(i) Two coins are tossed simultaneously. What are all possible outcomes?

(ii) A die is thrown. What are all possible outcomes?

(iii) From a well-shuffled deck of 52 cards, one card is drawn at random. What is the number of all possible outcomes?

(i) A coin has two sides a head(H) and a tail(T).

There are X^{m} possible outcomes.

[Where X is number of outcomes when a coin is tossed and m is number of coins.]

That is 2^{1} = 2 and they are H, T.

All possible outcomes are H, T.

(ii) A coin has two sides a head(H) and a tail(T), and there are two such coins.

There are X^{m} possible outcomes.

[Where X is number of outcomes when a coin is tossed and m is number of coins.]

That is 2^{2} = 4 and they are HH, HT, TH, TT

All possible outcomes are HH, HT, TH, TT.

(iii) A die has 6 faces and they are 1, 2, 3, 4, 5, 6

All possible outcomes are 1, 2, 3, 4, 5, 6.

(iv) A deck of cards have a total of 52 cards.

Number of possible outcomes are 52.

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