Answer:
- Probability of no rain is 30%
- Probability of blue is 2/5 (equivalent to 0.40 and also 40%)
- Probability of passing is 0.01074156 approximately
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Step-by-step explanation:
- Subtract the percentage from 100%, so we have 100% - 70% = 30%
- There are 10 blue out of 10+7+8 = 25 total. Therefore, 10/25 = 2/5 is the probability as a fraction. In decimal form 2/5 = 0.4 exactly and that converts to 40%.
- Use the binomial probability formula. The goal is to compute B(9) and B(10) to get 0.009765 and 0.00097656 respectively. Both are approximate. Those add to 0.01074156; note that I'm assuming this is a 10 question true/false test. Also I'm assuming the student randomly guesses each question.