From a well-shuffled pack of cards, two black kings and two black jacks are removed. From the remaining cards, a card is drawn at random. Find the probability that the card drawn is neither an ace nor a king.
Step 1 Finding the number of favorable and total number of outcomes:
Given that there is well-shuffled pack of cards.
Since two black kings and two black jacks are removed,
So, the total number of outcomes will be .
In a pack of cards, there are red cards and black cards.
There are four suits - Heart, Diamond, Club and Spade having 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
So, the number of favorable outcomes is .
Step 2 Finding the probability of drawing a card that is neither an ace nor a king:
The formula for probability is
Hence, the probability of drawing a card that is neither an ace nor a king is .