(xi) Let E be the event of getting a neither a spade nor a jack.

There are 13 spades and 3 other jacks. So remaining cards = 52-13-3 = 36

There will be 36 cards which are neither a spade nor a jack.

Number of favourable outcomes = 36

P(E) = 36/52 = 9/13

Hence the probability of getting a neither a spade nor a jack is 9/13.

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

There are 13 heart cards and 1other 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) = 38/52 =19/26

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