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Maths Ages 14-16 Name: Date: Worksheet This worksheet accompanies the lesson Probability from the Statistics and Probability unit. 1. Decide what the chances are of these events occurring. Put the letters in the appropriate box. The first one has been done for you. A. When a dice is thrown, it will show a square number. B. A number selected from 1 to 100 will be even. C. A coin will show tails when it is flipped. D. The next person to walk into a room will be right handed. E. When a dice is thrown, it will show a prime number. F. A number selected from 1 to 10 will be prime. Equal chance Not an equal chance A 2. A bag contains 10 marbles. There is 1 green marble, 3 blue marbles, 4 yellow marbles and 2 red marbles. Thomas pulls out a marble from the bag without looking. Give answers in fractions. a) What is the probability of him pulling out a red marble? ………………………………………... b) What is the probability of him pulling out a green marble? ……………………………………... c) What is the probability of him pulling out a blue or yellow marble? ……………………………. ………………………………………………………………………………………………………. d) What is the probability of him not pulling out a yellow marble? ………………………………... ……………………………………………………………………………………………………….. © Boardworks Ltd 2010 1 Maths Ages 14-16 Name: Date: 3. Fill in the gaps with the words below. Use each word once. equal unlikely unusual likely a) It is …………………………..... that the North Pole will be cold next year. b) It is ……………………..….….. for ice-cream sales to go up when it snows. c) It is …………………….….….. to see people using umbrellas when it is sunny. d) There is a(n) …………………… chance of tossing heads and tails on a coin. 4. An unfair spinner has yellow, green and blue sections. The probability of landing on either yellow or blue is 0.6. The probability of landing on either yellow or green is 0.8. What is the probability of the following? a) landing on green = ………………………………………………… b) landing on blue = ………………………………………………….. c) landing on yellow = ……………………………………………….. d) landing on blue or green = ………………………………………… 5. Are the following statements true or false? a) There is a 50% chance that a new born baby will be a girl. ………………….. b) It is unlikely that anyone I know shares a birthday. ………………….. c) It is impossible to toss a coin and get 50 heads in a row. ………………….. d) There is a 50% chance of being right-handed. ………………….. e) There is a one in ten chance of winning the lottery. ………………….. f) There is a 100% chance of Tuesday being the day after Monday. ………………….. © Boardworks Ltd 2010 2