Final answer:
The probability of drawing a card that is divisible by 3 or by 5 from a standard pack of cards is 7/52 or 0.1346.
Step-by-step explanation:
To find the probability of drawing a card that is divisible by 3 or by 5, we first need to count the number of cards that meet this criteria out of the total number of cards in the deck.
There are 4 suits in a deck of cards (hearts, diamonds, clubs, and spades) and each suit contains 13 cards (A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K). We can count the total number of cards that are divisible by 3 or by 5 by looking at the numbers that are divisible by 3 (3, 6, 9) and the numbers that are divisible by 5 (5, 10). There is one card (3) that is both divisible by 3 and 5, so we do not double count it.
So, the total number of cards that are divisible by 3 or by 5 is 7 (3 cards divisible by 3 + 2 cards divisible by 5 - 1 card divisible by both).
The total number of cards in a standard deck is 52.
Therefore, the probability is calculated by dividing the number of favorable outcomes (7) by the total number of possible outcomes (52):
P(Divisible by 3 or by 5) = 7/52 = 0.1346 (rounded to four decimal places).