If 6 cards are drawn at random from a standard deck of 52 cards, what is the probability that exactly 2 of the cards are spades?

 The required probability is 31.51%.

Step-by-step explanation:  Given that 6 cards are drawn at random from a standard deck of 52 cards.

We are to find the probability that exactly two of the cards are spades.

Let S denote the sample space of drawing 6 cards from a deck of 52 cards and let A denote the event that exactly two of them are spades.

Then, we have

Therefore, the probability of event A is given by

Thus, the required probability is 31.51%.

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)