4.5 Probability basicsIB Maths: Applications and Interpretation SL: Flashcards
What these 13 flashcards ask
- What is a sample space?
- What is an event?
- Formula for the probability of an event A with equally likely outcomes?
- What values can a probability take?
- What is the complement of A?
- Formula linking P(A) and P(A')?
- Define relative frequency.
- Experimental or theoretical: found from trials?
- What happens to relative frequency as the number of trials increases?
- Expected number of occurrences?
- 128 students, absence probability 0.1: expected number absent?
- How many outcomes when a die is rolled and a coin tossed?
- Why use a simulation?
Exam questions on 4.5 Probability basics
- A bag contains 5 red, 3 blue and 2 green counters. One counter is chosen at random.The counter is returned to the bag and the experiment is repeated 150 times. Find the expected number of times that a red counter is chosen.2 marks
- A fair six-sided die is rolled once and a fair coin is tossed once.Find the probability of obtaining a number less than 3 and a tail.2 marks
- A spinner has four equal-sized sectors numbered 1 to 4. It is spun 200 times and the results are: sector 1 occurs 38 times, sector 2 occurs 62 times, sector 3 occurs 55 times and sector 4 occurs 45 times.(i) Find the relative frequency of sector 2. (ii) Assuming that the spinner is fair, write down the theoretical probability of sector 2.3 marks
Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).