Recall that when we calculate the experimental probability, we need to divide the number of times the event occurs by the number of times the experiment was done.
13/20
Practice makes perfect
We are told that on average Raymond shoots lower than 80 in 3 out of 4 rounds of golf. He conducts a simulation to predict how many times he will shoot lower than 80 in his next 5 rounds. In the simulation 1, 2, and 3 represent shooting lower than 80, and 4 represents shooting 80 or higher. Consider the given table.
22113 22413 34141 12131 34432
34112 34142 24241 44231 41122
23132 13314 14133 11432 41214
34423 13332 12422 11422 33312
We want to find the experimental probability that Raymond will shoot lower than 80 in at least 4 out of 5 rounds. Recall how we calculate the experimental probability of event A.
P(A)=Number of times the event occurs/Number of times the experiment is done
In our case event A is shooting lower than 80 in at least 4 out of 5 rounds. Therefore, to find the probability we first need to find the number of trials in which such an event occurred. Since numbers 1, 2, and 3 represent shooting lower than 80, we need to count the trials in which these numbers appear at least 4 times. Let's mark them!
22113 22413 34141 12131 34432
34112 34142 24241 44231 41122
23132 13314 14133 11432 41214
34423 13332 12422 11422 33312
There are 13 trials in which the numbers 1, 2, and 3 occurred at least 4 times. Therefore, Raymond shot lower than 80 in at least 4 out of 5 rounds in 13 trials of the experiment. Also, counting each number sequence, we notice that there were 20 trials of this experiment. We can use these numbers to calculate the experimental probability.
P(A)=13/20
