Mathematics

Caiden

30 July, 17:51

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 the table. 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.