Welcome to the article A pen is randomly selected and replaced Then a pen is selected again What is the probability that both selections will be a pen with. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!
Answer :
Final answer:
The probability of selecting a pen with no ink twice depends on whether the pen is replaced or not. If the pen is replaced after each selection, the probability is 1/10000. If the pen is not replaced, the probability is 1/9900.
Explanation:
To calculate the probability of selecting a pen with no ink twice, we need to consider two scenarios:
- If the pen is randomly selected and replaced, then each selection is independent. The probability of selecting a pen with no ink is given as 1/100. Therefore, the probability of selecting a pen with no ink twice is (1/100) * (1/100) = 1/10000.
- If the pen is selected and not replaced, then each selection is dependent. The probability of selecting a pen with no ink in the first selection is 1/100. For the second selection, there will be one less pen to choose from, so the probability will be 1/99. Therefore, the probability of selecting a pen with no ink twice is (1/100) * (1/99) = 1/9900.
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