Interactive practice questions
Paul is completing a quiz that consists of $7$7 multiple-choice questions and that has a pass mark of $4$4. Each question has $5$5 possible answers, only one of which is correct. As he was too lazy to study for the quiz, Paul randomly guesses the answer to every question.
What is the probability that he achieves full marks?
What is the probability that he gets all of them wrong?
What is the probability that he passes the quiz?
A standard six-sided die is rolled $5$5 times.
A standard six-sided die is rolled $6$6 times.
Records show that half of all households in a city have broadband. What is the probability that less than $45%$45% of a sample of $100$100 random households have a broadband?
Give your answer as a decimal correct to four decimal places.