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:
`(3)/(51)`

Explanation:

`\text{Probability of any event}=\frac{\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 :-

`(4)/(52)=(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 :-

`(3)/(51)`