12 questions across 5 exams
A number is picked at random from the first three positive odd numbers. A number is picked at random from the first four prime numbers. The two numbers are multiplied to get a score. Complete the table.
A school year has 78 students. 28 wear glasses. 1/4 of the students who wear glasses are left-handed. 30% of the students who do not wear glasses are left-handed. ξ = students in the school year G = wears glasses L = left-handed Complete the Venn diagram.
A left-handed student is chosen at random. Work out the probability that the student wears glasses.
Callum is making pizza. He can choose three different toppings from: - ham (H) - sweetcorn (S) - onion (O) - mushrooms (M). List all the possible options for the three toppings. The first one has been done for you: HSO
Beth and Lynn each spin the same biased coin a number of times. The table shows information about the results. How many more Heads did Beth spin than Lynn?
Lynn says, "My estimate of the probability of the coin landing on Heads must be the best, because 0.35 is greater than 0.32". Is she correct? Give a reason for your answer.
Beth and Lynn each spin the same biased coin a number of times. The table shows information about the results. <br> <br> How many more Heads did Beth spin than Lynn?
Lynn says, "My estimate of the probability of the coin landing on Heads must be the best, because 0.35 is greater than 0.32". <br> Is she correct? Give a reason for your answer.
A bag contains one £5 note, one £10 note, one £20 note and one £50 note. Amaan picks two of the notes at random without replacement. Work out the probability that he has picked at least £30.
A test consists of two sections, A and B. - 85% of people pass section A. - 78% of people who pass section A also pass section B. - 36% of people who fail section A also fail section B. Complete the tree diagram.
40% of people who fail at least one section take the test again. 5000 people take the test. How many of these 5000 people are expected to take the test again?
A bag contains 25 discs. 11 are red, 9 are blue and 5 are yellow. Ashley picks three of the discs at random without replacement. Ashley's first disc is red. Work out the probability that all three discs are different colours.
Full answers, grading, and explanations on why each answer is correct.