## what is the probability of having a standard deck of 52 cards, while having a 3 card hand and getting dealt a jack and a king.​

Question

what is the probability of having a standard deck of 52 cards, while having a 3 card hand and getting dealt a jack and a king.​

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3 years 2021-08-31T07:56:21+00:00 1 Answers 5 views 0

## Answers ( )

The deck of 52 playing cards is broadly classified into 2 which are further divided into 2 divisions.

Red(26 cards) and Black(26 cards).

The red cards are further divided into diamonds♦️ (13 cards) and hearts♥️ (13 cards).

The black cards are further divided into clubs♣️(13 cards) and spades♠️(13 cards).

In each division of 13 cards classified above, there are/is-

3 face cards- King, Queen, Jack

One ace card

9 number cards(numbered from 2–10)

So, there are twelve face cards in a deck.

When three cards are picked, you may pick any three face cards out of the 12 face cards.

P(getting 3 face cards)=

No. of favourable face cards/ Total cards I.e,

12C3/52C3. By solving it we get 22/22100

=0.00995

Step-by-step explanation: