Question

A man flips a coin twice, and each time gets either heads (H) or tails (T). Create the sample space of possible outcomes.

a.HH HT TH TT
b.HH HT TT
c.HT TH
d.HH TT HT HT

Answer 1

That would be choice a.

HH HT TH TT

Answer 2

The sample space of possible outcomes is:

a. HH HT TH TT

Explanation:

Sample space is the collection of all the possible outcomes.

The sample space that we get on tossing a coin two times is:

{HH,HT,TH,TT}

(getting H on first trial, we can get head or tail in second trial i.e. we get HH or HT

and on getting T on first trial again, we can get head or tail in second trial i.e. we get TH or TT)

Hence, the correct option is:

a. HH HT TH TT