Give a definition for each of the following in your own words: a) probability b) prediction c) event d) outcome e) probability scale f) relative frequency g) theoretical probability h) tree diagram Say whether the following events are likely, unlikely, equally likely and unlikely, almost never, or very likely to happen: a) a 90% chance of rain tomorrow b) a tsunami in Johannesburg c) turning into a frog d) throwing a dice and having it land on an even number e) throwing a dice and having it land on 1 For each of these events, give the theoretical probability that the outcome given will occur: a) throwing a dice and having it land on 2 b) throwing a dice and having it land on an even number c) throwing a dice and having it land on 7 d) flipping a coin and having it land on heads e) flipping a coin and having it land on its side
and percentages: a) c) e) 5. 6. 3 chance that it will rain b) chance of throwing a 1 6 d) 5 1 7 8 chance of wearing black f) 1 100 9 10 1 20 chance it will snow chance of drinking coffee chance of winning a raffle Convert the following probabilities given in percentages into decimals and fractions: a) 80% chance of cold weather b) 55% chance of no signal c) 50% chance of rain d) 100% chance the sun will rise tomorrow e) 5% chance of a hurricane You are given a coin with heads on one side and tails on the other. a) If you flip the coin what is the probability it will land on heads? b) What is the probability it will land on tails? c) Using a coin of your own, flip the coin 10 times and write down what it lands on each time. d) e) i) What is the relative frequency according to your coin of heads? ii) What is the relative frequency according to your coin of tails? iii) Do these results match the theoretical probability you were expecting? Flip the coin another 10 times, and write each outcome down. i) Do these outcomes affect your relative frequency? ii) Are they closer to the theoretical probability we were expecting? What can infer (conclude) from these results?
coin at the same time. a) Draw a two-way table of all the possible results. b) What is the chance that you both get tails? c) What is the chance that you get heads and your friend gets tails, or vice versa. d) What is the chance that you get a two and your friend gets a 4? Now you are given a 6-sided dice. a) What are the possible results or outcomes if you roll the dice? b) What is the chance that you roll a 1? c) What is the chance that you roll a 7? d) What is the chance that you roll an even number? e) What is the chance that you roll a multiple of 3? f) What is the chance that you roll a multiple of 5? Now you are given two 6-sided die. a) Draw a two-way table of the results, if you were to add the two outcomes on the die together. i) What is the chance of getting a sum of 1? ii) What is the chance of getting a sum of 2? iii) What is the chance of getting a sum of 6? iv) What is the chance of getting a sum of 9? v) What is the chance of getting a sum of 12? vi) What is the chance of getting a sum of 13?
to multiply the two results on the die together. i) What is the chance of getting a product of 0? ii) What is the chance of getting a product of 1? iii) What is the chance of getting a product of 6? iv) What is the chance of getting a product of 12? v) What is the chance of getting a product of 18? vi) What is the chance of getting a product of 11? vii) What is the chance of getting a product of 36? Draw a two-way table, if you were to subtract the smaller result from the larger result. i) What is the chance of getting a difference of 0? ii) What is the chance of getting a difference of 1? iii) What is the chance of getting a difference of 2? iv) What is the chance of getting a difference of 4? v) What is the chance of getting a difference of 6? Draw a tree diagram for each of the following situations: a) Martha can choose to wear either black pants or a grey skirt, and either a white shirt or a grey jersey. b) Ms. Ndlovu can either teach grade 6 or grade 7’s and she can teach them either Maths or English. c) In a container you can either pick a red, green or blue ball. And in a second box you can choose either a circle or a square. d) A female cat has brown, black and white fur, while the male she mates with has black and brown fur. What are the possible colour combinations for the kittens?
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