1 of 2 ID: MST.FET.P.ANOP.01.0020A [2 marks] Steve is studying a six-sided die. He argues that the die has six sides, all of them being equally likely to show up if the die is rolled. He therefore assigns a probability of 1/6 to the event that a 4 shows up on the die. However, on rolling the die thousands of times (Steve has a lot of spare time), he finds that the 4 only shows up one in every eight times. He therefore assigns a new probability of 1/8 to the event that a 4 shows up on the die. a) Steve was assigning a relative frequency probability: O when he was rolling the die many times and observing the outcomes when he was reasoning that the outcomes are all equally likely on the die both when he was reasoning that the outcomes were all equally likely and when he was observing the die rolls he made b) A weakness with the probability that Steve eventually assigns to the event that a 4 shows up is that: O it is an estimate O it must be wrong, the probability must be 1/6 probability has nothing to do with how often an event is seen to occur -2 of 2 ID: MST.FET.P.ANOP.02.0030A [1 mark] Four students attempt to describe the likelihood of an event. They all assign a probability to this event. The table to the right shows each student together with the probability that they have assigned. Student Probability Karen 0 Based only on this information, the student that believes that the event is certain is: Linda 0.5 Miranda Miranda 1 O Natalie O Karen Natalie 2 O Linda