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Question

Question: A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is drawn ...

A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is drawn without replacement. The probability that both the tickets will show even number, is

A

919\frac { 9 } { 19 }

B

818\frac { 8 } { 18 }

C

918\frac { 9 } { 18 }

D

419\frac { 4 } { 19 }

Answer

419\frac { 4 } { 19 }

Explanation

Solution

The probability of getting an even number in first draw =919= \frac { 9 } { 19 } . The probability of getting an even number in second draw =818= \frac { 8 } { 18 }. Both are independent event and so required probability =919×818=419= \frac { 9 } { 19 } \times \frac { 8 } { 18 } = \frac { 4 } { 19 }