Question

Cards are drawn one by one without replacement from a pack of 52 cards. The probability of the 11th card drawn is first ace,is:
A. `(451)/(884)`
B. `(241)/(1456)`
C. `(164)/(4165)`
D. none of these

Answer 1

Correct Answer - C
Consider the following events.
`A to` Getting no ace in first 10 draws
`B to` Getting an ace in 11th draw.
`therefore` Required probability `=P(A cap B)=P(A)P(B//A)`
`=(.^(48)C_(10))/(.^(52)C_(10))xx(.^(4)C_(1))/(.^(42)C_(1))=(164)/(4165)`