Example Question - random selection
Here are examples of questions we've helped users solve.
Probability of Failing and Succeeding in Opening a Lock with Multiple Keys
<p>(a) The probability that Asri fails to open the lock:</p> <p>P(\text{failure}) = 1 - P(\text{success})</p> <p>P(\text{failure}) = 1 - \frac{1}{3}</p> <p>P(\text{failure}) = \frac{2}{3}</p> <p>(b) The probability that Asri fails to open the lock with the new key added:</p> <p>Since the two new keys cannot open the lock, the total number of keys is now 5.</p> <p>P(\text{new failure}) = \frac{\text{Number of keys that do not work}}{\text{Total number of keys}}</p> <p>P(\text{new failure}) = \frac{4}{5}</p> <p>(c) The probability that the lock is successfully opened with the new key added:</p> <p>P(\text{new success}) = 1 - P(\text{new failure})</p> <p>P(\text{new success}) = 1 - \frac{4}{5}</p> <p>P(\text{new success}) = \frac{1}{5}</p>
Calculating Probability of Selecting a Good Product
The question is asking for the probability of selecting a good product at random from a total of 10 products, 7 of which are good. The probability (P) of selecting a good product can be calculated using the formula: P(good product) = Number of good products / Total number of products According to the information provided in the question: Number of good products = 7 Total number of products = 10 So the probability is: P(good product) = 7/10 Therefore, the correct answer is D. 7/10.
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