Question

On a true-false quiz of six questions, Karen answers all the questions. What is the probability that she answers the first three questions correctly and the last three questions incorrectly?

Answer 1

Answer: The probability of three correct answers and three incorrect answers is $\frac{1}{64}$

Step-by-step explanation:

Since we have given that

There is a true - false quiz of six questions.

Probability of getting a true = $\frac{1}{2}$

Probability of getting a false = $\frac{1}{2}$

Probability that she answers the first three questions correctly and the last three questions incorrectly is given by

P(Three correct) × P(Three incorrect)

$(\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2})\times (\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2})\\\\=(\frac{1}{2})^6\\\\=\frac{1}{64}$

Hence, the probability of three correct answers and three incorrect answers is $\frac{1}{64}$

Answer 2

Answer:

1/64

Step-by-step explanation:

just took the test and got 100% :)

Have a nice day!!

- Shadow