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JEE Main & Advanced Mathematics Probability Question Bank Odds in favour and odds against Addition theorem on probability

  • question_answer
    A card is drawn from a pack of 52 cards. A gambler bets that it is a spade or an ace. What are the odds against his winning this bet

    A)                 17 : 52   

    B)                 52 : 17

    C)                 9 : 4       

    D)                 4 : 9

    Correct Answer: C

    Solution :

               Probability of the card being a spade or an ace                                                                            \[=\frac{16}{52}=\frac{4}{13}\] . Hence odds in favour is \[4:9.\] So the odds against his winning is                                                                                                \[9\,\,:\,\,4\] .


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