Mathematics

Kaylee Castaneda

28 May, 14:41

A coach has found that his team wins about 45 of their home games.

To be in the playoffs, the team must win 3 or more of its next 4 home games. To estimate the probability of this happening, the coach uses a computer to randomly select 4 numbers from 1 through 5. He lets 1 through 4 represent winning and 5 represent losing.

He repeats this for a total of 20 trials and records the results in the table below.

4125 4324 4431 2254 3124 4421 2254 1322 5254 3213

5444 3213 3234 3322 5322 4341 1315 1241 4241 1335

What is the best estimate, based on this simulation, of the probability the team will win 3 or more of their next 4 home games?

5%

35%

65%

95%