document.write( "Question 1196793: At Patty the Panda's pizza parlor, the possible pizza toppings are pesto, pepperoni, peppers, and pineapple, and the possible desserts are pumpkin pie, powdered-sugar pretzels, and papaya popsicles. If Prajwal the porcupine, Petunia the peacock, and Pete the parakeet each randomly choose a subset of the pizza toppings and a dessert, what is the probability that at least two of them choose the exact same pizza or the same dessert (or both)? \n" ); document.write( "

Algebra.Com's Answer #829790 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Using TI or similarly an inexpensive calculator like a Casio fx-115 ES plus\r\n" );
document.write( "probability that at least two of them choose the exact same pizza\r\n" );
document.write( "n = 3 ,  p = 1/4 (4 choices of toppings)\r\n" );
document.write( "P(x ≥ 2) = 1  -  P(x ≤ 1) = 1 - binomcdf(3,1/4, 1) = 1 -  .84375 = .1563\r\n" );
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document.write( "Using  \r\n" );
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document.write( "P(x ≥ 2) = 1 - .42187 - .42187 = .1563\r\n" );
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document.write( "probability that at least two of them choose the exact same dessert\r\n" );
document.write( "n = 3 ,  p = 1/3 (3 choices of desserts)\r\n" );
document.write( "P(x ≥ 2) = 1  -  P(x ≤ 1) = 1 - binomcdf(3,1/3, 1)\r\n" );
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document.write( "probability that at least two of them choose the exact same topping and dessert\r\n" );
document.write( "n = 3 ,  p = 1/12 ( 4*3 = 12 choices for both)\r\n" );
document.write( "P(x ≥ 2) = 1  -  P(x ≤ 1) = 1 - binomcdf(3,1/12, 1)\r\n" );
document.write( "Wish You the Best in your Studies.\r\n" );
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