Question

Two cards are drawn without replacement from a standard deck of 5252 playing cards. What is the probability of choosing a jack for the second card drawn, if the first card, drawn without replacement, was a jack

Answer 1

Answer: $\dfrac{3}{51}$

Step-by-step explanation:

$\text{Probability of any event}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

Given : The number of cards in a standard deck of cards = 52

The number of jack in a deck of cards = 4

The probability of drawing the first card as jack :-

$\dfrac{4}{52}=\dfrac{1}{13}$

If there is no replacement , the the total number of cards left = 51

The number of jack is left = 3

Then , the probability of choosing a jack for the second card drawn :-

$\dfrac{3}{51}$