Use the method of your choice to determine the following probability.Drawing three tens in a row from a standard deck of cards when the drawn card is not returned to the deck each time

Answer :

Data

• Drawing three tens in a row

,

• 52-standard deck of cards: four cards of tens.

,

• Drawn card is not returned

Procedure

We have the probability of drawing a card of tens from the whole deck.

[tex]\frac{4}{52}[/tex]

Then, as the card drawn is not returned, we have the probability of drawing another but from a 51 deck:

[tex]\frac{4}{52}\times\frac{3}{51}[/tex]

Again, as the two cards are drawn are not returned, then we have the probability of drawing one from a 50 deck:

[tex]\frac{4}{52}\times\frac{3}{51}\times\frac{2}{50}=\frac{1}{5525}[/tex]

Answer:

[tex]\frac{1}{5,525}[/tex]

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