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Probability of two events Example A coin is tossed twice. Draw a probability sample space diagram showing all the possible outcomes. What is the probability of the two tosses giving two heads?

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Example Two dice are thrown together. a) List all possible outcomes b) Use your list to find the probability that (i) the sum of the scores on the dice is 5 (ii) the sum of the scores is even. (iii) the sum of the scores is a prime number.

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Example When the two spinners are spun, what is the probability of getting a B on the first and a 3 on the second?

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Example A penny and a die are thrown together. a) How many possible outcomes are there? b) What is the probability of getting a head? c) What is the probability of getting a six? d) What is the probability of getting a head and a six?

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Example Two bags each contain a number of marbles. The first bag has 2 blue and 2 green and the second bag has 1 green and 3 blue. One marble is drawn at random from each bag. a)Draw up a list of all possible outcomes b) Find the probability that one marble is blue and the other is green.

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Example I have four coins in my left pocket: They are 2p, 5p, 5p and 10p. I have three coins in my right pocket: they are 2p, 5p and 20p. Two coins are chosen at random, one from each pocket. a)Draw up a list of all possible sums of money for these two coins. b)Find the probability that: (i)coins are 5p (ii)the total value of the coins is 7p.

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