Probability of Drawing Two Cards Between 3 and 8 from a Deck

There are a total of 52 cards in the deck. \n\nOut of these 52 cards, there are 4 cards each of numbers 4, 5, 6, and 7. Therefore, there are a total of 4 * 4 = 16 cards that are greater than 3 and less than 8.\n\nThe probability of drawing the first card that is greater than 3 and less than 8 is 16/52.\n\nAfter drawing the first card, there are now 51 cards left in the deck, with 15 cards that are greater than 3 and less than 8. Therefore, the probability of drawing the second card that is also greater than 3 and less than 8 is 15/51.\n\nTo find the probability of both cards being greater than 3 and less than 8, we multiply the probability of drawing the first card by the probability of drawing the second card:\n\n(16/52) * (15/51) = 0.098\n\nTherefore, the probability that both cards will be greater than 3 and less than 8 is approximately 0.098, or 9.8%.