Question

10. A card is drawn at random from a well shuffled deck of 52 cards. The probability that it is neither a heart nor a red king is​

Answer 1

Total number of cards =52.

So the number of possible outcomes =52.

Let E be the event of getting neither a heart nor a red king.

There are 13 heart cards and 1 other red king. So remaining cards =52−13−1=38

There will be 38 cards which are neither a heart nor a red king.

Number of favourable outcomes =38

P(E)=
Number of possible outcomes/ number of favourable outcomes



P(E)=38/52=19/26

Hence the probability of getting neither a heart nor a red king is 19/26.

Hope it helps!