A probability problem by A Former Brilliant Member

Probability Level 2

A box contains 100 tickets numbered 1, 2, …, 100. Two tickets are chosen at random. It is given that the greater number on the two chosen tickets is not more than 10. The probability that the smaller number is 5 is __________ . \text{\_\_\_\_\_\_\_\_\_\_} .

19/783 1/5 328/993 1/7 1/9 13/83 427/13214 1/13

A Former Brilliant Member by A Former Brilliant Member

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1 solution

Sabhrant Sachan
Feb 15, 2017

Total possibilities : { { 10 and 9 , 8 , . . . 1 } , { 9 and 8 , 7...1 } . . . { 2 and 1 } } \{ \{10 \text{ and } 9,8,...1 \} , \{9 \text{ and } 8,7...1\} ... \{2 \text{ and } 1 \} \}

Favorable outcomes : { { 10 and 5 } , { 9 and 5 } . . . { 6 and 5 } } \{ \{10 \text{ and } 5\} , \{9 \text{ and } 5\} ... \{6 \text{ and } 5 \} \}

Probability : 5 45 = 1 9 \dfrac{5}{45} = \dfrac{1}{9}

JEE preparation should be over by now .

1 Helpful 0 Interesting 0 Brilliant 1 Confused

what ? over i have started it now , did'nt you heard BB said you should go on with JEE till 22nd feb :)

A Former Brilliant Member - 4 years, 3 months ago

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