Abag contains the letters from the words summer vacation. you randomly choose a letter a, and do not replace it. then choose another lettera.. what is the probability that both letters are a's? ?

1/91

Step-by-step explanation:

SUMMER VACATION

There are 14 letters, 2 of them are A's

P (1st letter is an A) = 2/14=1/7

Then we keep the A

SUMMER VCATION

There are 13 letters, 1 of them is an A's

P (2nd letter is an A) = 1/13

P (1st A, 2nd A) = 1/7 * 1/13 = 1/91

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !