SallyMarquez8191 SallyMarquez8191
  • 27-08-2019
  • Mathematics
contestada

If you draw two cards from the deck at the same time, what is the probability that they will both be hearts?

Respuesta :

A1peakenbe A1peakenbe
  • 29-08-2019

Answer:

The probability is 1/17.

Step-by-step explanation:

The total number of ways in which 2 cards can be selected from a pack of 52 cards is [tex]\binom{52}{2}[/tex]

The total number of combinations of 2 cards with hearts equals [tex]\binom{13}{2}[/tex]

Thus the probability of the event that both the cards have hearts becomes

[tex]P(E)=\frac{\binom{13}{2}}{\binom{52}{2}}=\frac{1}{17}[/tex]

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