Question

Use the format HTH to mean that the first toss is heads, the second is tails, and the third is heads. If there’s more than one element in the set separate them with commas

Answer 1

Solution:

Given:

$A\text{ coin to be tossed three times}$

Using a tree diagram, the tosses can be shown below;

From the tree diagram, the sample space can be deduced below;

$Sample\text{ space}=\lbrace HHH,HHT,HTH,HTT,THH,THT,TTH,TTT\rbrace$

From the sample space, the event that the first toss is head is;

$\lbrace HHH,HHT,HTH,HTT\rbrace$