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Performance Probe (Posted on 2014-10-24) Difficulty: 2 of 5
Four friends Abe, Ben, Cade and Dan sang a quartet. Two of them sang tenor, one sang baritone and one sang bass, not necessarily in that order.

It is also known that:

(i) If Ben was not one of the tenors, then Abe was the baritone.
(ii) If Dan was the baritone, then Cade was the bass.

Determine the probability that:

(a) Ben was a tenor.
(b) Abe was the baritone.
(c) Cade was the bass.

  Submitted by K Sengupta    
Rating: 5.0000 (1 votes)
Solution: (Hide)
The answer is:
(a)5/6
(b)3/6=1/2
(c)2/6=1/3

For an explanation, refer to:

  • Analytical solution submitted by Ady TZIDON in this location.
  • Computer program assisted solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solutionsolution- 4 classesAdy TZIDON2014-10-26 04:18:34
Solutioncomputer solutionCharlie2014-10-24 19:28:50
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