Question

A card is drawn at random from a pack of card. What is the probability that the drawn card is neither a heart nor a king -

• A. $\frac { 4 } { 13 }$
• B. $\frac { 9 } { 13 }$
• C. $\frac { 1 } { 4 }$
• D. $\frac { 13 } { 26 }$

Answer 1

Answer: (B)

$\frac { 9 } { 13 }$

Answer 2

P($\overline { \text { King } }$ Ç $\overline { \text { Heart } }$ ) = 1 – P(King È Heart)

= 1 – [P(K) + P(H) – P(K Ç H)]

= 1 – $\frac { 36 } { 52 }$ = $\frac { 9 } { 13 }$