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InterviewSolution
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One card is drawn from a well-shuffled deck of 52 cards. Find the probability of getting(i) A queen of black suit(ii) A jack of hearts(iii) A spade |
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Answer» Total number of outcomes = 52 (i) Let E4 be the event of getting a queen of black suit. Number of favorable outcomes = 2 Therefore, P(getting a queen of black suit) = P(E4) = \(\frac{number\,of\,outcomes\,favorable\,to\,E_4}{number\,of\,all\,possible\,outcomes}\) = \(\frac{2}{52}\) = \(\frac{1}{26}\) Thus, the probability of getting a queen of black suit is \(\frac{1}{26}\). (ii) let E5 be the event of getting a jack of hearts. Number of favorable outcomes = 1 Therefore, P(getting a queen of black suit) = P(E5) = \(\frac{number\,of\,outcomes\,favorable\,to\,E_5}{number\,of\,all\,possible\,outcomes}\) = \(\frac{1}{52}\) Thus, the probability of getting a jack of heart is \(\frac{1}{52}\). (iii) let E6 be the event of getting a spade. Number of favorable outcomes = 13 Therefore, P(getting a queen of black suit) = P(E6) = \(\frac{number\,of\,outcomes\,favorable\,to\,E_6}{number\,of\,all\,possible\,outcomes}\) = \(\frac{13}{52}\) = \(\frac{1}{4}\) Thus, the probability of getting a spade is \(\frac{1}{4}\). |
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