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**GCSE Maths Starter 20 Change 3 8 into a decimal**

Q = 2c + d, when c = 3, d = 2. Work out the value of Q Draw an ordered stem and leaf diagram, for the data below Using the information that 4.8×34= Write down the value of 48×34 4.8×3.4 Work out the difference in temperature between 6pm and 10pm

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**Lesson 20 Probability Mathswatch clip (90/91).**

To list all possible outcomes (Grade D ) To calculate missing probabilities from mutually exclusive events (Grade D)

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**Calculating probability**

If the outcomes of an event are equally likely then we can calculate the probability using the formula: Probability of an event = Number of successful outcomes Total number of possible outcomes For example, a bag contains 1 yellow, 3 green, 4 blue and 2 red marbles. Point out that calculated probabilities are usually given as fractions but that they can also be given as decimals and (less often) as percentages. Ask pupils to give you the probabilities (as decimals, fractions and percentages) of getting a blue marble a red marble a yellow marble a purple marble a blue or a green marble, etc. What is the probability of pulling a green marble from the bag without looking? 3 10 P(green) = or 0.3 or 30%

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**Calculating probability**

A fair dice is thrown. What is the probability of getting a 2? a multiple of 3? an odd number? a prime number? a number bigger than 6? an integer? 1 6 a) P(2) = 2 6 = 1 3 b) P(a multiple of 3) = 3 6 = 1 2 c) P(an odd number) =

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**Lesson 20 Probability Mathswatch clip (90/91).**

Work out the probability of: (a) (b) 4 21 (i) 1 2 P(Red) = (i) P(Odd) = (ii) 2 7 P(Green) = (ii) 1 4 P(Multiple of 3) = 1 7 (iii) (iii) 1 7 P(Yellow) = P(>5) = (iv) 5 7 (iv) P(<1) = P(Not blue) = 3 7 1 2 (v) (v) P(Blue or yellow) = P(Prime) = 1 4 (vi) (vi) P(Purple) = P(Square) = 5

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**Sample space diagrams 9 6 5 4 8 3 2 1 + Second die First die**

This table is another way of displaying all the outcomes from throwing two dice and adding them together. It is called a sample space diagram. 9 6 5 4 8 3 2 1 + Second die First die Fill in the rest of the cells in the table. Colour in all the twos one colour, the threes another colour etc. The completed table appears on the next slide. What patterns do you notice in the table?

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**Sample space diagrams 12 11 10 9 8 7 6 5 4 3 2 1 +**

Second die First die What is the probability of getting a total more than 5? What is the probability of getting a total less than 10? What is the probability of getting a total that is a square number? What is the probability of getting an even total? What is the probability of getting an odd total? What is the probability of getting a total less than 13? 2 3 4 5 6 7 3 4 5 6 7 8 4 5 6 7 8 9 5 6 7 8 9 10 6 7 8 9 10 11 7 8 9 10 11 12

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**Lesson 20 Probability Mathswatch clip (90/91).**

What is the probability of getting: a total more than 4? a total less than 8? a prime number total? a total that is at least 3? a total of 4 or 5? the same number on both dice? a lower number on the first dice? 8 7 6 5 4 3 2 1 + Second die First die

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**Lesson 20 Probability Mathswatch clip (90/91).**

Some for you to try..

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**Lesson 20 Probability Mathswatch clip (90/91).**

Exam questions

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