Two cards are randomly drawn from a deck of 52 playing cards Find theprobability that both cards will be greater than 3 and less than 8

There are a total of 52 cards in the deck.

Out 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.

The probability of drawing the first card that is greater than 3 and less than 8 is 16/52.

After 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.

To 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:

(16/52) * (15/51) = 0.098

Therefore, the probability that both cards will be greater than 3 and less than 8 is approximately 0.098, or 9.8%