Question

Casey finds that when asked for their email address, 15 of her customers will share their address with her.

To simulate the behavior of the next 4 customers, she writes the numbers 1, 2, 3, 4, and 5 on cards and mixes them up. She then picks 4 cards, records the results, and puts the cards back. She repeats this experiment for a total of 20 trials.

The results are shown in this list. Here, she let 1 represent someone sharing an email address and 2, 3, 4, and 5 represent someone not sharing an email address.

4121, 1223, 4233, 3344, 2434, 4241, 5415, 3421, 5214, 2234,4211, 1432, 5532, 4114, 4325, 4454, 4523, 4432, 3423, 1352

Using this simulation, what is the probability that, out of the next 4 customers, fewer than 2 will share their email address?

Enter your answer, as a fraction in simplified form, in the box.

1 answer

To find the probability that fewer than 2 customers will share their email address, we need to count the number of trials where 0 or 1 customers shared their email address.

From the list provided:
- There are 6 trials where 0 customers shared their email address: 234, 334, 243, 443, 432, 234
- There are 4 trials where 1 customer shared their email address: 412, 122, 424, 421

So, there are a total of 6 + 4 = 10 trials where fewer than 2 customers shared their email address.

Therefore, the probability is 10/20 = 1/2.

Answer: 1/2
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