Mathematics, 27.03.2020 03:14 jo1720
Suppose that three executives bump into each other in an elevator and drop their identical cellular phones as the doors are closing, leaving them with no alternative but to pick up a phone at random.
a. Describe in detail how you could conduct a simulation of this situation to produce empirical estimates of the probabilities involved.
b. List all the possible outcomes in the sample space for this situation.
c. Use the sample space to determine the probability that
• Nobody gets the correct phone.
• Exactly one person gets the correct phone.
• Exactly two people get the correct phone.
• All three people get the correct phone.
• At least one person gets the correct phone.
d. If this situation were to befall a group of five people, you could calculate the probability that nobody gets the correct phone as 11/30. Explain in your own words what this probability means about the likelihood of nobody getting the correct phone. Include the long-run interpretation of probability in your answer and relate your response to the situation’s context.
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