Your teacher give you a True or false quiz with 10 questions if you randomly answer each question how many possible outcomes of selecting True and false are there

1024 outcomes

Step-by-step explanation:

Within a particular single question, we can select only 1 correct answer from 2 options. The number of ways of doing this is 2C1 and this is 2

This means for each question, there are only 2 possible outcomes. Now for 10 questions, the total number of possible outcomes would be the outcome of each of the questions multiplied by one another.

That would be (2) ^10 which is 1024 outcomes