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Solving Probability Examples with Multiple Events

Explore different probability scenarios involving coin tosses, dice rolls, spinner spins, and marble selections to understand outcomes and calculate probabilities.

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Solving Probability Examples with Multiple Events

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  1. 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?

  2. 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.

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

  4. 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?

  5. 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. • Draw up a list of all possible outcomes • Find the probability that one marble is blue and the other is green.

  6. 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. • Draw up a list of all possible sums of money for these two coins. • Find the probability that: • coins are 5p • the total value of the coins is 7p.

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