Question

A card stack contains white and black cards. Two cards are drawn randomly without replacement. The probability of selecting a white and then a black card is x. The probability of selecting a white card in the first draw is y. You have to find the probability of drawing a black card, given that the first card drawn was white. The input will contain two lines with x and y respectively. The output should be displayed as a float(no need to round it off). Sample input: 0.2 0.5 sample output: 0.4

Answer 1

Answer:

x/y

Step-by-step explanation:

by relation between the cards

Answer 2

Given : A card stack contains white and black cards Two cards are drawn randomly without replacement The probability of selecting a white and then a black card is x probability of selecting a white card in the first draw is y

To find :  the probability of drawing a black card, given that the first card drawn was white

Solution:

A card stack contains white and black cards

White Card = W

Black Card = B

Probability of  selecting a white and then a black card is x

=> x =  (W/ ( W + B) ) * (B /( W  + B - 1)

The probability of selecting a white card in the first draw is y

=> y = W/ ( W + B)

x  =  y *  B/(W + B - 1)

=> B/(W + B - 1) = x/y

Input = x , y

Output = x/y

x = 0.2

y = 0.5

x/y = 0.2/0.5  = 2/5

= 0.4

x/y is the probability of drawing a black card, given that the first card drawn was white.

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