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9 FURTHER APPLICATIONS OF INTEGRATION

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GROUP WORK 2, SECTION 9.5<br />

The Wheel of Fate<br />

1. In Westbury, New York, there used to be an ice-cream store that offered its young customers a special<br />

deal. They could buy a hot-fudge sundae for $1.00, or spin the Sundae Wheel and pay the price upon<br />

which the spinner stopped. The Sundae Wheel (and the store that housed it) no longer exist, but the author<br />

remembers it as looking something like this:<br />

(a) What is the probability of a sundae costing over $1.00?<br />

(b) What is the expected value for the cost of a sundae?<br />

(c) In light of parts (a) and (b), would you rather pay a dollar for the sundae, or choose to spin the wheel?<br />

Why?<br />

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