In a free throw shooting contest, you shoot free throws until you miss once or until you make four shots. you keep track of the sequence of misses/makes. how many outcomes are in the sample space for this experiment?

Question

Mathematics

Baker

16 December, 22:00

In a free throw shooting contest, you shoot free throws until you miss once or until you make four shots. you keep track of the sequence of misses/makes. how many outcomes are in the sample space for this experiment?

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Kiley Hays · Answer 1

5 outcomes.

Let 0 being misses and 1 being makes.

The first outcome is 0, which is a miss.

The second outcome is 1,0, which is first a make, then a miss

The third outcome is 1,1,0, which is first a make, the next one being a make, and the final one being a miss.

The fourth outcome is 1,1,1,0, which is first a make, the second one being a make, the third one being a make, and the fourth one being a miss.

The final outcome is 1,1,1,1, which is every shot is a make.