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

1/64

Explanation:

just took the test and got 100% :)

Have a nice day!!

- Shadow

Answer 2

Answer: The probability of three correct answers and three incorrect answers is
`(1)/(64)`

Explanation:

Since we have given that

There is a true - false quiz of six questions.

Probability of getting a true =
`(1)/(2)`

Probability of getting a false =
`(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)

`((1)/(2)* (1)/(2)* (1)/(2))* ((1)/(2)* (1)/(2)* (1)/(2))\\\\=((1)/(2))^6\\\\=(1)/(64)`

Hence, the probability of three correct answers and three incorrect answers is
`(1)/(64)`