Question

Two cards are drawn one by one from a pack of cards. The probability of getting first card an ace and second a coloured one is (before drawing second card first card is not placed again in the pack)

• A. $\frac { 1 } { 26 }$
• B. $\frac { 5 } { 52 }$
• C. $\frac { 5 } { 221 }$
• D. $\frac { 4 } { 13 }$

Answer 1

Answer: (C)

$\frac { 5 } { 221 }$

Answer 2

$P \left( E _ { 1 } \right) = \frac { 4 } { 52 } = \frac { 1 } { 13 }$ , $P \left( \frac { E _ { 2 } } { E _ { 1 } } \right) = \frac { 15 } { 51 } = \frac { 5 } { 17 }$

$P \left( E _ { 1 } \cap E _ { 2 } \right) = P \left( E _ { 1 } \right) \cdot P \left( \frac { E _ { 2 } } { E _ { 1 } } \right) = \frac { 1 } { 13 } \cdot \frac { 5 } { 17 } = \frac { 5 } { 221 }$.