Subjects probability

Probability Sweets A45Acc

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Question: Band2 Week 1 A bag of sweets contains only two different flavours - strawberry and orange. The probability that a sweet is strawberry flavour is 0.8 What is the probability that a sweet is orange flavour?
1. **State the problem:** We have a bag of sweets with two flavours: strawberry and orange. 2. **Given:** The probability of picking a strawberry sweet is $0.8$. 3. **Find:** The probability of picking an orange sweet. 4. **Formula and rule:** Since there are only two flavours, the total probability must add up to 1. $$P(\text{strawberry}) + P(\text{orange}) = 1$$ 5. **Calculate:** $$P(\text{orange}) = 1 - P(\text{strawberry}) = 1 - 0.8$$ 6. **Simplify:** $$P(\text{orange}) = 0.2$$ 7. **Answer:** The probability that a sweet is orange flavour is $0.2$.