A coin is tossed 5 times in a row. What is the size of the sample space of this experiment?

A sample space is the collection of all the possible outcomes for an event. A coin has only two possible outcomes when tossed once which are Head and Tail.

Answer: The size of the sample space of tossing 5 coins in a row is 32.

Let's find the sample space.

Explanation:

If a coin is tossed once, then the number of possible outcomes will be 2 (either a head or a tail).

Since a coin is tossed 5 times in a row and all the events are independent.

Therefore the size of the sample space is 2⁵ , where 2 is the number of possible outcomes when tossed once and 5 is the number of trials.

⇒ 2⁵  = 2 × 2 × 2 × 2 × 2 = 32

Sample space will be 

{HHHHH}, {HHHHT}, {HHHTT}, {HHTTT}, {HTTTT}, {TTTTT}, {TTTTH}, {TTTHH}, {TTHHH}, {THHHH}, {HTHTH}, {THTHT}, {HHTHH}, {TTHTT}, {HTTHT}, {THHTH}, {THHHT}, {HTTTH}, {THHTT}, {HTTHH}, {HHTTH}, {TTHHT}, {TTHTH}, {HHTHT}, {HTHTT}, {THTHH}, {THTTH}, {HTHHT}, {HTHTT}, {THTHH}, {HHHTH}, {TTTHT}.

Thus, the size of the sample space of tossing 5 coins in a row is 32.