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For process to find a probability of 2 cards of different colours - Edexcel - GCSE Maths - Question 20 - 2022 - Paper 1
Question 20
For process to find a probability of 2 cards of different colours. For a complete process, The first card drawn can be any card from the deck. This means we have 1... show full transcript
Worked Solution & Example Answer:For process to find a probability of 2 cards of different colours - Edexcel - GCSE Maths - Question 20 - 2022 - Paper 1
Step 1
For process to find a probability of 2 cards of different colours.
Answer
To find the probability of drawing two cards of different colors, we start with the total number of cards, which is 10. When the first card is drawn, it can be any of the 10 cards. The second card must be a different color, leaving us with 9 acceptable cards from the remaining 9 cards. Thus, the probability is:
P = rac{n(A)}{n(S)} = rac{10}{10} imes rac{9}{9} = 1
Step 2
For process to find a probability of 2 cards of the same colour.
Answer
When determining the probability of drawing two cards of the same color, the first card drawn can still be any card from the deck, giving us 10 options. After this, there are 9 cards of the same color remaining. Hence, the probability becomes:
P = rac{10}{10} imes rac{9}{9} = 1
Alternatively, this can also be expressed as:
P = rac{62}{121}