2. What is the probability of Richard successfully hitting the following? Justify your answers. a. All 5 pitches? b. 4 pitches? c. 3 pitches? d. 2 pitches? e. 1 pitch? f. 0 pitches? Page 1 / 2

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Probability: Expected Value
II.C Student Activity Sheet 9: Binomial Probability and Expected Value
At the National Baseball Batting Contest, the organizers have set up game booths for the
contestants. Richard wants to win a large stuffed animal. The rules of the game are as
follows:
You are pitched 5 fastballs, and you must hit them into a fair zone to count.
If you successfully hit all 5 pitches, you win a large stuffed animal.
If you successfully hit 3 or 4 pitches, you win a small stuffed animal.
If you successfully hit 1 or 2 pitches, you win a bat-shaped pencil.
If you miss all the pitches, you do not win a prize.
The game costs $3 to play (each set of 5 fastballs).
1. What are the possible outcomes that Richard can have on his 5 swings? Explain or show
how you arrived at your answer?
2. What is the probability of Richard successfully hitting the following? Justify your answers.
a. All 5 pitches?
b. 4 pitches?
c. 3 pitches?
d. 2 pitches?
e. 1 pitch?
f. 0 pitches?
Page
1 / 2
Transcribed Image Text:Open with Probability: Expected Value II.C Student Activity Sheet 9: Binomial Probability and Expected Value At the National Baseball Batting Contest, the organizers have set up game booths for the contestants. Richard wants to win a large stuffed animal. The rules of the game are as follows: You are pitched 5 fastballs, and you must hit them into a fair zone to count. If you successfully hit all 5 pitches, you win a large stuffed animal. If you successfully hit 3 or 4 pitches, you win a small stuffed animal. If you successfully hit 1 or 2 pitches, you win a bat-shaped pencil. If you miss all the pitches, you do not win a prize. The game costs $3 to play (each set of 5 fastballs). 1. What are the possible outcomes that Richard can have on his 5 swings? Explain or show how you arrived at your answer? 2. What is the probability of Richard successfully hitting the following? Justify your answers. a. All 5 pitches? b. 4 pitches? c. 3 pitches? d. 2 pitches? e. 1 pitch? f. 0 pitches? Page 1 / 2
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