Phil and his family want to do something fun and memorable on Leap Day. They each come up with an activity: attend a trapeze class, go fishing, go on a hike, or visit a theme park. They settle on picking the letters L, E, A, and P from a bowl, replacing them after each pick, to make the decision. They repeat this experiment 40 times to verify their model and record the results in this table.

Activity Letter Times Picked
trapeze class L 10
fishing E 11
hiking A 9
theme park P 10

Question

Phil and his family want to do something fun and memorable on Leap Day. They each come up with an activity: attend a trapeze class, go fishing, go on a hike, or visit a theme park. They settle on picking the letters L, E, A, and P from a bowl, replacing them after each pick, to make the decision. They repeat this experiment 40 times to verify their model and record the results in this table.

Activity	Letter	Times Picked
trapeze class	L	10
fishing	E	        11
hiking	A	        9
theme park	P	10

kaneringer · Answer

Based on the results in the table, is this model a fair representation for choosing an activity?

No, it is an unfair model because the outcomes have different frequencies.
No, it is an unfair model because the relative frequency of the letter E is the highest.
Yes, it is a fair model because the relative frequencies of the letters L and P are equal.
Yes, it is a fair model because the relative frequencies of all the outcomes are similar.