Acoach has found that his team wins about 4/5 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.

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.

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?

(a) 5%

(b) 35%

(c) 65%

(d) 95%

The best estimate of the probability of winning 3 or more games is:

95%.

Step-by-step explanation:

To be in the playoffs, the team must win 3 or more of its next 4 home games.

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.

The table of values that represent his trials are:

4125    4324   4431   2254    3124    4421   2254   1322    5254    3213   5444   3213    3234    3322   5322   4341   1315   1241   4241   1335.

Hence, total number of trials=20

Outcomes in which the team will win 3 or more of their home games is:

4125    4324   4431   2254    3124    4421   2254   1322   3213   5444   3213    3234    3322   5322   4341   1315   1241   4241   1335.

Hence, number of outcomes in which they win 3 or more games=19.

Hence, the best estimate of the  probability the team will win 3 or more of their next 4 home games is:

Hence, the probability is:

95%

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