Maths · Probability: Probability of an event, addition and multiplication theorems of probability
The probability of an even happens in one trial of an experiment is Three indepe
The probability of an even happens in one trial of an experiment is \( 0.3 . \) Three independent trials of the experiments are performed. Find the probability that the event A happens at least once.
- A. 0 .657
- B. 0.965
- C. 0.796
- D. 0.509
Step-by-step solution
The probability of the event happening at least once in three independent trials is 1 minus the probability of it not happening in any trial. Since the probability of not happening in one trial is 1 - 0.3 = 0.7, for three trials it is 0.7^3 = 0.343. Thus, P(at least once) = 1 - 0.343 = 0.657.
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