10th Class Mathematics Probability Question Bank Probability

  • question_answer
    A bag contains 40 coins, consisting of Rs. 2, Rs. 5 and Rs.10 denominations. If a coin is drawn at random, the probability of drawing a Rs. 2 coin is \[\frac{5}{8}\].lf\[x\]Rs. 2 coins are removed from the bag and then a coin is drawn at random, the probability of drawing a Rs. 2 coin is\[\frac{1}{2}\]. Find the value of\[x\].

    A)  5                            

    B)         2   

    C)  10                         

    D)         8

    Correct Answer: C

    Solution :

     \[n(S)=40,\]let \[n(C)=C\] \[P(C)=\frac{5}{8}\Rightarrow \frac{C}{40}=\frac{5}{8}\]or \[C=25\] Now, \[\frac{25-x}{40-x}=\frac{1}{2}\Rightarrow x=10\]


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