Question

Asked Apr 19, 2019

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Let two cards be dealt successively, without replacement, from a standard 52-card deck. Find the probability of the event. two jacks

The probability of drawing two

jacks

is-?(Simplify your answer. Type an integer or a fraction.)

Step 1

**Explanation:**

A standard deck of 52 cards has 4 suits of 13 cards each. In each of the four suits (diamonds, hearts, spades and clubs). Each of these suits has a jack. So, a standard deck has a total of 4 jacks.

Now, if two cards are dealt successively and without replacement, without any constrains imposed on them, the first card can be any of the 52 cards in the deck; due to the dealing without replacement, the second card can be any of the remaining 51 cards (after the first one is dealt, there remains 51 more cards).

So, when dealing two cards successively, without replacement and without any constraint, the total number of possible outcomes is (52 × 51) = 2,652.

Now, our problem imposes the constraint that the two cards be jacks.

If the cards have to be jacks, there...

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