JEE Main & Advanced Sample Paper JEE Main Sample Paper-39

  • question_answer
    Fifteen coupons are numbered 1, 2 ..... 15, respectively. Seven coupons are selected at random one at a time with replacement. The probability that the largest number appearing on a selected coupon is 9, is

    A)  \[{{\left( \frac{9}{16} \right)}^{6}}\]                     

    B)  \[{{\left( \frac{8}{15} \right)}^{7}}\]

    C)  \[{{\left( \frac{3}{5} \right)}^{7}}\]                       

    D)  none of these

    Correct Answer: C

    Solution :

     n=7 Prob. of getting any no. out 1,2,3,... 9 is p = =9/15 \[\therefore \]q=6/5 \[P(x=7){{=}^{7}}{{C}_{7}}{{p}^{7}}{{q}^{0}}\] [Binomial distribution] \[={{\left( \frac{9}{15} \right)}^{7}}={{\left( \frac{3}{5} \right)}^{7}}\]


You need to login to perform this action.
You will be redirected in 3 sec spinner