Question

please answer correctly don't answer a link thanks.​ FUNDAMENTAL PRINCIPLE OF COUNTING.

Answer 1

1 )

The answer is ${2}^{5}$ or 32.

The best way to represent this is with a binary tree. Each split represents a choice, and each line represents a possible outcome. Choice #1 at the top of the tree has 2 possible outcomes. The second level repeats that process with 2 possible choices and 4 possible outcomes, this repeats for all 5 levels giving us 32 possible outcomes at the bottom.

2)

There will be eight outcomes.

Sample space : {HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}