A 5-card hand is dealt from a deck of 52 cards. what is the probability that 4 are hearts

1 answer:

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You're essentially dealing a three-card hand from a deck of 50 (missing the spade and heart kings), wanting to know the probability of getting the remaining two kings among those three. The number of ways of dealing three cards is 50C3=1960050C3=19600; the number of hands with two kings is 4848 (one for each of the remaining cards in the hand); so the probability is 48/19600=3/122548/19600=3/1225.

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Given:An = [6 n/(-4 n + 9)]For both of the following answer blanks, decide whether the given sequence or series is convergent or

Mrrafil [7]

Answer:

The sequence is convergent and the serie is divergent.

Step-by-step explanation:

Sequence:

We calculate the limit when n tends to infinity to see if it is convergent or divergent:

$\lim_{n \to \infty} \frac{6n}{-4n+9} = \frac{6}{-4} = \frac{-3}{2} \neq 0$ then, the sequence is convergent.