InterviewSolution
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2 numbered cards are picked randomly from a complete set of Heart and Club cards (26 cards), find the probability that the sum of numbers on card is a perfect square number?1. 13/13262. 14/325 3. 11/13264. 4/1125. 5/789 |
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Answer» Correct Answer - Option 2 : 14/325 Given: 2 cards are picked randomly from 26 cards Formula Used: The number of ways of picking "r" cards from "n" total cards = nCr Calculation: Total numberd card in a pack of deck (2 - 10) = 9 × 2 = 18 Perfect squares that can be obtained by sum of numbers in a deck = 4, 9, 16 Sum of numbers on cards possible to get 4 = {(1,3) (2,2) (3,1)} = 3 Sum of numbers on cards possible to get 9 = {(2,7) (3,6) (4,5) (5,4) (6,3) (7,2)} = 6 Sum of numbers on cards possible to get 16 = {(6,10) (7,9) (9,7) (10,6) (8,8)} = 5 Number of favorable outcomes = 3 + 6 + 5 = 14 Total number of favorable outcomes = 26C2 = (26 × 25)/(2 × 1) = 325 ∴ P(A) = 14/325 ∴ The probability that the sum of numbers on card is a perfect square number is 14/325 |
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