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 Xm possible outcomes.
[Where X is number of outcomes when a coin is tossed and m is number of coins.]
That is 21 = 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 Xm possible outcomes.
[Where X is number of outcomes when a coin is tossed and m is number of coins.]
That is 22 = 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.