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Recitation 2 Solutions

# Recitation 2 Solutions - Steven Weber Dept of ECE Drexel...

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Steven Weber Dept. of ECE Drexel University ENGR 361: Statistical Analysis of Engineering Systems (Spring, 2010) Recitation 2 Solutions Please answer any two of the following four questions. Indicate clearly which two questions you wish to be graded. 1. A fair six-sided die is rolled three times independently. Which is more likely: a sum of 11 or a sum of 12 ? An 11 may occur 27 ways, while a 12 may occur 25 ways, hence an 11 is more likely: 146 155 164 236 245 254 263 326 335 344 353 362 416 425 434 443 452 461 515 524 533 542 551 614 623 632 641 , 156 165 246 255 264 336 345 354 363 426 435 444 453 462 516 525 534 543 552 561 615 624 633 642 651 (1) 2. We deal from a well-shuffled 52 -card deck. Calculate the probability that the 13 th card is the first king to be dealt. The event that the first king is drawn on the 13th card means the first 12 cards are not kings and the 13th card is a king. Since ordering is important, we work with permutations: P 12 , 48 × P 1 , 4 P 13 , 52 = 4 48! 39! 36! 52! = 703 20825 0 . 0337575 . (2) 3. Ninety students, including Joe and Jane, are to be split into three classes of equal size, and this is to be done at random. What is the probability that Joe and Jane end up in the same class?

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Recitation 2 Solutions - Steven Weber Dept of ECE Drexel...

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