Final answer:
The probability of drawing a card bearing a number that is divisible by 3 or 5 is 21/52. The probability of drawing a Joker depends on whether Jokers are included in the deck. The probability of drawing a King, Queen, or Ace is 12/52. The probability of drawing a card that is neither a King nor a Jack is 44/52.
Step-by-step explanation:
To find the probability of drawing a card with a number divisible by 3 or 5, we need to determine the number of cards that satisfy this condition. In a standard deck, there are 12 cards with numbers divisible by 3 (3, 6, 9 in each suit) and 10 cards with numbers divisible by 5 (5, 10 in each suit). However, we need to subtract the card with both numbers divisible by 3 and 5 (15) to avoid double counting. Therefore, the total number of cards with numbers divisible by 3 or 5 is 12 + 10 - 1 = 21. Since there are 52 cards in a deck, the probability is 21/52.
To find the probability of drawing a Joker, we need to know if Jokers are included in the deck. If Jokers are not present, the probability is 0. If they are present, the probability is 2/52 since there are two Jokers in a standard deck.
To find the probability of drawing a King, a Queen, or an Ace, we need to determine the number of cards with these values. There are 4 Kings, 4 Queens, and 4 Aces in a standard deck, so the total number of cards is 4 + 4 + 4 = 12. Therefore, the probability is 12/52.
To find the probability of drawing neither a King nor a Jack, we need to determine the number of cards that do not have these values. There are 4 Kings and 4 Jacks in a standard deck, so the total number of cards with these values is 4 + 4 = 8. Therefore, the probability of drawing a card that is neither a King nor a Jack is 44/52.