A lottery ticket has a 0.2 winning probability. Buying 4 tickets, what is the chance of winning on at least one__________?
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Answer: B. 0.5904
Explanation
The probability of winning on a single ticket is zero point two, making the probability of losing zero point eight. The probability of losing all four purchased tickets is calculated by raising zero point eight to the fourth power. Subtracting this total loss probability of zero point four zero nine six from one gives the winning chance of zero point fifty nine zero four. The probability of at least one successful event is computed as one minus the probability of complete failure. Independent probability events are calculated by multiplying the individual probabilities of each occurrence. Probabilities are expressed as decimal numbers ranging strictly between zero and one inclusive.
Option A is incorrect because it miscalculates the compound probability of losing all four tickets. Option C overestimates the probability by applying an incorrect exponential loss factor. Option D represents a minor arithmetic error that fails to match the exact binomial calculation.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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