exercise:Bb0f4465de: Difference between revisions
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(Created page with "Gerolamo Cardano in his book, ''The Gambling Scholar,'' written in the early 1500s, considers the following carnival game. There are six dice. Each of the dice has five blank sides. The sixth side has a number between 1 and 6---a different number on each die. The six dice are rolled and the player wins a prize depending on the total of the numbers which turn up. Find, as Cardano did, the expected total without finding its distribution. '''References''' {{cite web |...") |
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Gerolamo Cardano in his book, ''The Gambling Scholar,'' written in the early 1500s, considers the following carnival game. There are six | Gerolamo Cardano in his book, ''The Gambling Scholar,'' written in the early 1500s, considers the following carnival game. There are six | ||
dice. Each of the dice has five blank sides. The sixth side has a number between 1 and 6---a different number on each die. The six dice are rolled and the player wins a prize depending on the total of the numbers which turn up. Find, as Cardano did, the expected total without finding its distribution. | dice. Each of the dice has five blank sides. The sixth side has a number between 1 and 6---a different number on each die. The six dice are rolled and the player wins a prize depending on the total of the numbers which turn up. Find, as Cardano did, the expected total without finding its distribution. | ||
<ul class="mw-excansopts"> | |||
<li>3</li> | |||
<li>3.25</li> | |||
<li>3.5</li> | |||
<li>3.75</li> | |||
<li>4</li> | |||
</ul> | |||
'''References''' | '''References''' | ||
{{cite web |url=https://math.dartmouth.edu/~prob/prob/prob.pdf |title=Grinstead and Snell’s Introduction to Probability |last=Doyle |first=Peter G.|date=2006 |access-date=June 6, 2024}} | {{cite web |url=https://math.dartmouth.edu/~prob/prob/prob.pdf |title=Grinstead and Snell’s Introduction to Probability |last=Doyle |first=Peter G.|date=2006 |access-date=June 6, 2024}} | ||
Latest revision as of 09:07, 26 June 2024
Gerolamo Cardano in his book, The Gambling Scholar, written in the early 1500s, considers the following carnival game. There are six dice. Each of the dice has five blank sides. The sixth side has a number between 1 and 6---a different number on each die. The six dice are rolled and the player wins a prize depending on the total of the numbers which turn up. Find, as Cardano did, the expected total without finding its distribution.
- 3
- 3.25
- 3.5
- 3.75
- 4
References
Doyle, Peter G. (2006). "Grinstead and Snell's Introduction to Probability" (PDF). Retrieved June 6, 2024.