The probability of drawing a card that is neither an ace nor a king is 7/8.
Step 1: Finding the number of favorable and total number of outcomes:
Given that there is well-shuffled pack of 52 cards.
Since two black kings and two black jacks are removed,
52-2-2=48
So, the total number of outcomes will be 48.
In a pack of 52 cards, there are 26 red cards and 26 black cards.
There are four suits - Heart, Diamond, Club and Spade having 13 cards each.
There are four face cards ace, king, queen and jack in each suit.
So, the number of cards that are neither ace nor kings would be
Remaining cards ace cards 2 red king cards
48-4-2
42
So, the number of favorable outcomes is 42.
Step 2: Finding the probability of drawing a card that is neither an ace nor a king:
The formula for probability is
Probability =
Number of favorable outcomes
Total number of outcomes
⇒ P(neither an ace nor a king) = 42 48
P(neither an ace nor a king) = 7 /8
Hence, the probability of drawing a card that is neither an ace nor a king is 7/8.