Mathematics

Sheldon Li

21 May, 13:14

The probability a student at Jamal's school is in the band is 0.20. Jamal wants to estimate the probability that in 3 randomly selected students, at least 2 are in the band.

To do this, he uses a simulation. He lets 1 represent a student who is in the band and 2, 3, 4, or 5 represent a student who is not in the band. He then uses a computer to randomly generate 3 random numbers from 1 to 5 twenty times. The results of these 20 trials are shown in the table.

233 113 131 244

414 344 412 132

554 454 334 235

125 412 254 232

221 342 333 313

Based on this simulation, what is the estimated probability that at least 2 of 3 randomly selected students are in band?

Enter your answer, as a decimal, in the box.