Question

A red card is drawn from a standard deck of 52 playing cards. If the red card is not replaced, find the probability of drawing a second card that is black. P(black|red)

Answer 1

26/51

Explanation:

Probability Formula = No of possible events ÷ Number of events

We are given a standard deck of 52 cards. Hence,

The number of events = 52

It is important to note that in a standard deck of 52 playing cards,

26 are red

26 are black

WITHOUT REPLACEMENT

Probably of drawing

a red card = 26/52 = 1/2

We are asked to find the probability of drawing a second card that is black

Probability of drawing a black card = No of possible outcomes / Number of events

Number of possible outcomes = 26 Due to the fact that the red card after been drawn was not replaced,

Number of events = 51

Hence , Probability of drawing a black card = 26/51

Therefore, the Probability of drawing a black card =

P (black ) = 26 /51