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%.

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step-by-step explanation:

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step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)