a bag contains the letters of the word pennsylvania. a letter is drawn, replaced, then another is drawn. what is the probability that the first letter is an n or a and the second letter has a vertical line of symmetry?

( make sure the probability answer is in fraction form! : ))

5/48

Step-by-step explanation:

There are 12 letters in pennsylvania

P (n or a) = (number of n's and a's)/ total

There are 3 n's and 2 a's

P (n or a) = 5/12

P (Vertical symmetry) = letters with vertical symmetry/ total

Only V  I and Y have vertical symmetry  3 letters

P ( vertical symmetry) = 3/12

Multiply the probabilities together

5/12 * 3/12 = 15/144 = 5/48

step-by-step explanation:

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: