A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor of selecting a 4.

1 : 12

Step-by-step explanation:

P(4) = 4 cards out of 52 = 1/13

P(4') = 48 cards out of 52 = 12/13

Odds in favour of selecting a four

Probability "for" : Probability "against" = P(4) : P(4') = 1/13 : 12/13 = 1 : 12

Simplify ratio to the simplest integers.

boxplot e is the answer

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)