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10 (a) for method to find probability of getting a score of 5 - Edexcel - GCSE Maths - Question 10 - 2022 - Paper 1

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10 (a) for method to find probability of getting a score of 5. for: 10 (b) for method to find the proportion of 1. \( \frac{6}{40} \) .

Worked Solution & Example Answer:10 (a) for method to find probability of getting a score of 5 - Edexcel - GCSE Maths - Question 10 - 2022 - Paper 1

Step 1

for method to find probability of getting a score of 5.

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Answer

To find the probability of getting a score of 5, we first need to determine the total number of possible outcomes and favorable outcomes. Assuming we are rolling a fair six-sided die, there are 6 possible outcomes (1, 2, 3, 4, 5, 6).

The favorable outcome for a score of 5 is that there is 1 way to roll a 5. Therefore, we can calculate the probability as follows:

extProbability=Number of favorable outcomesTotal number of outcomes=16 ext{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{1}{6}

Hence, the answer is ( \frac{1}{6} ) or approximately 0.1667.

Step 2

for method to find the proportion of 1.

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Answer

To find the proportion of 1 in this context, we are given ( \frac{6}{40} ). We need to simplify this fraction first:

640=320\frac{6}{40} = \frac{3}{20}

Thus, the proportion of 1 when expressed in simplest form is ( \frac{3}{20} ) or as a decimal approximately 0.15.

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